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Finding the Third Proportional to 47,666,761 and 101,053,589

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Solution

The third proportional to 47,666,761 and 101,053,589 is: 214,233,726.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,666,761 : 101,053,589 = 101,053,589 : x
  2. Step 2: Convert to fraction form
    47,666,761/101,053,589 = 101,053,589/x
  3. Step 3: Cross multiply
    47,666,761x = 101,053,589 × 101,053,589
  4. Step 4: Simplify right side
    47,666,761x = 10,211,827,849,780,920
  5. Step 5: Solve for x
    x = 10,211,827,849,780,920/47,666,761
  6. Step 6: Final answer
    x = 214,233,726.72

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.