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Finding the Third Proportional to 6,747,703,799,008 and 10,279,429,557,632

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Solution

The third proportional to 6,747,703,799,008 and 10,279,429,557,632 is: 15,659,648,849,117.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,747,703,799,008 : 10,279,429,557,632 = 10,279,429,557,632 : x
  2. Step 2: Convert to fraction form
    6,747,703,799,008/10,279,429,557,632 = 10,279,429,557,632/x
  3. Step 3: Cross multiply
    6,747,703,799,008x = 10,279,429,557,632 × 10,279,429,557,632
  4. Step 4: Simplify right side
    6,747,703,799,008x = 105,666,672,030,318,416,342,548,480
  5. Step 5: Solve for x
    x = 105,666,672,030,318,416,342,548,480/6,747,703,799,008
  6. Step 6: Final answer
    x = 15,659,648,849,117.06

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.