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Finding the Third Proportional to 314,876,073.09 and 683,274,733.88

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Solution

The third proportional to 314,876,073.09 and 683,274,733.88 is: 1,482,692,404.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,876,073.09 : 683,274,733.88 = 683,274,733.88 : x
  2. Step 2: Convert to fraction form
    314,876,073.09/683,274,733.88 = 683,274,733.88/x
  3. Step 3: Cross multiply
    314,876,073.09x = 683,274,733.88 × 683,274,733.88
  4. Step 4: Simplify right side
    314,876,073.09x = 466,864,361,951,952,064
  5. Step 5: Solve for x
    x = 466,864,361,951,952,064/314,876,073.09
  6. Step 6: Final answer
    x = 1,482,692,404.55

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.