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Finding the Third Proportional to 207,316,896 and 479,951,350

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Solution

The third proportional to 207,316,896 and 479,951,350 is: 1,111,116,859.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,316,896 : 479,951,350 = 479,951,350 : x
  2. Step 2: Convert to fraction form
    207,316,896/479,951,350 = 479,951,350/x
  3. Step 3: Cross multiply
    207,316,896x = 479,951,350 × 479,951,350
  4. Step 4: Simplify right side
    207,316,896x = 230,353,298,366,822,496
  5. Step 5: Solve for x
    x = 230,353,298,366,822,496/207,316,896
  6. Step 6: Final answer
    x = 1,111,116,859.32

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.