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Finding the Third Proportional to 207,316,882 and 479,951,314

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Solution

The third proportional to 207,316,882 and 479,951,314 is: 1,111,116,767.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,316,882 : 479,951,314 = 479,951,314 : x
  2. Step 2: Convert to fraction form
    207,316,882/479,951,314 = 479,951,314/x
  3. Step 3: Cross multiply
    207,316,882x = 479,951,314 × 479,951,314
  4. Step 4: Simplify right side
    207,316,882x = 230,353,263,810,326,592
  5. Step 5: Solve for x
    x = 230,353,263,810,326,592/207,316,882
  6. Step 6: Final answer
    x = 1,111,116,767.67

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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.