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Finding the Third Proportional to 616,591,200.48 and 1,455,044,873.20

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Solution

The third proportional to 616,591,200.48 and 1,455,044,873.20 is: 3,433,645,471.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,591,200.48 : 1,455,044,873.20 = 1,455,044,873.20 : x
  2. Step 2: Convert to fraction form
    616,591,200.48/1,455,044,873.20 = 1,455,044,873.20/x
  3. Step 3: Cross multiply
    616,591,200.48x = 1,455,044,873.20 × 1,455,044,873.20
  4. Step 4: Simplify right side
    616,591,200.48x = 2,117,155,583,034,625,280
  5. Step 5: Solve for x
    x = 2,117,155,583,034,625,280/616,591,200.48
  6. Step 6: Final answer
    x = 3,433,645,471.08

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.