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Finding the Third Proportional to 6,747,703,606,079 and 10,279,429,256,199

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Solution

The third proportional to 6,747,703,606,079 and 10,279,429,256,199 is: 15,659,648,378,450.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,747,703,606,079 : 10,279,429,256,199 = 10,279,429,256,199 : x
  2. Step 2: Convert to fraction form
    6,747,703,606,079/10,279,429,256,199 = 10,279,429,256,199/x
  3. Step 3: Cross multiply
    6,747,703,606,079x = 10,279,429,256,199 × 10,279,429,256,199
  4. Step 4: Simplify right side
    6,747,703,606,079x = 105,666,665,833,199,921,300,242,432
  5. Step 5: Solve for x
    x = 105,666,665,833,199,921,300,242,432/6,747,703,606,079
  6. Step 6: Final answer
    x = 15,659,648,378,450.55

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