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Finding the Third Proportional to 9,991,423,287,864 and 13,480,776,006,552

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Solution

The third proportional to 9,991,423,287,864 and 13,480,776,006,552 is: 18,188,732,125,839.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,991,423,287,864 : 13,480,776,006,552 = 13,480,776,006,552 : x
  2. Step 2: Convert to fraction form
    9,991,423,287,864/13,480,776,006,552 = 13,480,776,006,552/x
  3. Step 3: Cross multiply
    9,991,423,287,864x = 13,480,776,006,552 × 13,480,776,006,552
  4. Step 4: Simplify right side
    9,991,423,287,864x = 181,731,321,738,828,097,871,937,536
  5. Step 5: Solve for x
    x = 181,731,321,738,828,097,871,937,536/9,991,423,287,864
  6. Step 6: Final answer
    x = 18,188,732,125,839.02

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.