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Finding the Third Proportional to 149,288,060,727 and 329,005,783,572

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Solution

The third proportional to 149,288,060,727 and 329,005,783,572 is: 725,073,425,809.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,288,060,727 : 329,005,783,572 = 329,005,783,572 : x
  2. Step 2: Convert to fraction form
    149,288,060,727/329,005,783,572 = 329,005,783,572/x
  3. Step 3: Cross multiply
    149,288,060,727x = 329,005,783,572 × 329,005,783,572
  4. Step 4: Simplify right side
    149,288,060,727x = 108,244,805,623,825,712,545,792
  5. Step 5: Solve for x
    x = 108,244,805,623,825,712,545,792/149,288,060,727
  6. Step 6: Final answer
    x = 725,073,425,809.79

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.