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Finding the Third Proportional to 24,361,022,912 and 38,763,176,448

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Solution

The third proportional to 24,361,022,912 and 38,763,176,448 is: 61,679,833,961.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,361,022,912 : 38,763,176,448 = 38,763,176,448 : x
  2. Step 2: Convert to fraction form
    24,361,022,912/38,763,176,448 = 38,763,176,448/x
  3. Step 3: Cross multiply
    24,361,022,912x = 38,763,176,448 × 38,763,176,448
  4. Step 4: Simplify right side
    24,361,022,912x = 1,502,583,848,338,781,896,704
  5. Step 5: Solve for x
    x = 1,502,583,848,338,781,896,704/24,361,022,912
  6. Step 6: Final answer
    x = 61,679,833,961.27

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.