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Finding the Third Proportional to 47,392,564,772 and 98,707,784,008

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Solution

The third proportional to 47,392,564,772 and 98,707,784,008 is: 205,585,552,726.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,392,564,772 : 98,707,784,008 = 98,707,784,008 : x
  2. Step 2: Convert to fraction form
    47,392,564,772/98,707,784,008 = 98,707,784,008/x
  3. Step 3: Cross multiply
    47,392,564,772x = 98,707,784,008 × 98,707,784,008
  4. Step 4: Simplify right side
    47,392,564,772x = 9,743,226,623,769,981,222,912
  5. Step 5: Solve for x
    x = 9,743,226,623,769,981,222,912/47,392,564,772
  6. Step 6: Final answer
    x = 205,585,552,726.33

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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.