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Finding the Third Proportional to 47,392,564,776 and 98,707,784,016

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Solution

The third proportional to 47,392,564,776 and 98,707,784,016 is: 205,585,552,742.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,392,564,776 : 98,707,784,016 = 98,707,784,016 : x
  2. Step 2: Convert to fraction form
    47,392,564,776/98,707,784,016 = 98,707,784,016/x
  3. Step 3: Cross multiply
    47,392,564,776x = 98,707,784,016 × 98,707,784,016
  4. Step 4: Simplify right side
    47,392,564,776x = 9,743,226,625,349,304,451,072
  5. Step 5: Solve for x
    x = 9,743,226,625,349,304,451,072/47,392,564,776
  6. Step 6: Final answer
    x = 205,585,552,742.30

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.