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Finding the Third Proportional to 41,644,496,158.88 and 63,442,509,280.31

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Solution

The third proportional to 41,644,496,158.88 and 63,442,509,280.31 is: 96,650,274,466.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,644,496,158.88 : 63,442,509,280.31 = 63,442,509,280.31 : x
  2. Step 2: Convert to fraction form
    41,644,496,158.88/63,442,509,280.31 = 63,442,509,280.31/x
  3. Step 3: Cross multiply
    41,644,496,158.88x = 63,442,509,280.31 × 63,442,509,280.31
  4. Step 4: Simplify right side
    41,644,496,158.88x = 4,024,951,983,782,728,564,736
  5. Step 5: Solve for x
    x = 4,024,951,983,782,728,564,736/41,644,496,158.88
  6. Step 6: Final answer
    x = 96,650,274,466.70

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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.