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Finding the Third Proportional to 4,028,559,982 and 8,669,340,184

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Solution

The third proportional to 4,028,559,982 and 8,669,340,184 is: 18,656,159,908.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,028,559,982 : 8,669,340,184 = 8,669,340,184 : x
  2. Step 2: Convert to fraction form
    4,028,559,982/8,669,340,184 = 8,669,340,184/x
  3. Step 3: Cross multiply
    4,028,559,982x = 8,669,340,184 × 8,669,340,184
  4. Step 4: Simplify right side
    4,028,559,982x = 75,157,459,225,917,161,472
  5. Step 5: Solve for x
    x = 75,157,459,225,917,161,472/4,028,559,982
  6. Step 6: Final answer
    x = 18,656,159,908.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.