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Finding the Third Proportional to 4,348,203,892,434 and 9,459,822,602,838

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Solution

The third proportional to 4,348,203,892,434 and 9,459,822,602,838 is: 20,580,507,697,184.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,348,203,892,434 : 9,459,822,602,838 = 9,459,822,602,838 : x
  2. Step 2: Convert to fraction form
    4,348,203,892,434/9,459,822,602,838 = 9,459,822,602,838/x
  3. Step 3: Cross multiply
    4,348,203,892,434x = 9,459,822,602,838 × 9,459,822,602,838
  4. Step 4: Simplify right side
    4,348,203,892,434x = 89,488,243,677,164,707,719,938,048
  5. Step 5: Solve for x
    x = 89,488,243,677,164,707,719,938,048/4,348,203,892,434
  6. Step 6: Final answer
    x = 20,580,507,697,184.31

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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.