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Finding the Third Proportional to 4,348,203,892,500.80 and 9,459,822,602,969.20

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Solution

The third proportional to 4,348,203,892,500.80 and 9,459,822,602,969.20 is: 20,580,507,697,439.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,348,203,892,500.80 : 9,459,822,602,969.20 = 9,459,822,602,969.20 : x
  2. Step 2: Convert to fraction form
    4,348,203,892,500.80/9,459,822,602,969.20 = 9,459,822,602,969.20/x
  3. Step 3: Cross multiply
    4,348,203,892,500.80x = 9,459,822,602,969.20 × 9,459,822,602,969.20
  4. Step 4: Simplify right side
    4,348,203,892,500.80x = 89,488,243,679,646,958,298,857,472
  5. Step 5: Solve for x
    x = 89,488,243,679,646,958,298,857,472/4,348,203,892,500.80
  6. Step 6: Final answer
    x = 20,580,507,697,439.01

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.