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Finding the Third Proportional to 29,906,885,028 and 63,816,652,680

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Solution

The third proportional to 29,906,885,028 and 63,816,652,680 is: 136,174,835,843.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,906,885,028 : 63,816,652,680 = 63,816,652,680 : x
  2. Step 2: Convert to fraction form
    29,906,885,028/63,816,652,680 = 63,816,652,680/x
  3. Step 3: Cross multiply
    29,906,885,028x = 63,816,652,680 × 63,816,652,680
  4. Step 4: Simplify right side
    29,906,885,028x = 4,072,565,159,279,751,331,840
  5. Step 5: Solve for x
    x = 4,072,565,159,279,751,331,840/29,906,885,028
  6. Step 6: Final answer
    x = 136,174,835,843.55

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.