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Finding the Third Proportional to 357,041,856 and 540,951,918

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Solution

The third proportional to 357,041,856 and 540,951,918 is: 819,592,920.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,041,856 : 540,951,918 = 540,951,918 : x
  2. Step 2: Convert to fraction form
    357,041,856/540,951,918 = 540,951,918/x
  3. Step 3: Cross multiply
    357,041,856x = 540,951,918 × 540,951,918
  4. Step 4: Simplify right side
    357,041,856x = 292,628,977,587,878,720
  5. Step 5: Solve for x
    x = 292,628,977,587,878,720/357,041,856
  6. Step 6: Final answer
    x = 819,592,920.75

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.