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Finding the Third Proportional to 41,644,496,154.66 and 63,442,509,274.41

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Solution

The third proportional to 41,644,496,154.66 and 63,442,509,274.41 is: 96,650,274,458.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,644,496,154.66 : 63,442,509,274.41 = 63,442,509,274.41 : x
  2. Step 2: Convert to fraction form
    41,644,496,154.66/63,442,509,274.41 = 63,442,509,274.41/x
  3. Step 3: Cross multiply
    41,644,496,154.66x = 63,442,509,274.41 × 63,442,509,274.41
  4. Step 4: Simplify right side
    41,644,496,154.66x = 4,024,951,983,033,217,974,272
  5. Step 5: Solve for x
    x = 4,024,951,983,033,217,974,272/41,644,496,154.66
  6. Step 6: Final answer
    x = 96,650,274,458.49

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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.