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Finding the Third Proportional to 24,896,882,004.75 and 38,244,656,076.19

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Solution

The third proportional to 24,896,882,004.75 and 38,244,656,076.19 is: 58,748,469,712.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,896,882,004.75 : 38,244,656,076.19 = 38,244,656,076.19 : x
  2. Step 2: Convert to fraction form
    24,896,882,004.75/38,244,656,076.19 = 38,244,656,076.19/x
  3. Step 3: Cross multiply
    24,896,882,004.75x = 38,244,656,076.19 × 38,244,656,076.19
  4. Step 4: Simplify right side
    24,896,882,004.75x = 1,462,653,718,385,904,058,368
  5. Step 5: Solve for x
    x = 1,462,653,718,385,904,058,368/24,896,882,004.75
  6. Step 6: Final answer
    x = 58,748,469,712.27

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.