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Finding the Third Proportional to 10,413,123,162 and 15,863,317,240.50

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Solution

The third proportional to 10,413,123,162 and 15,863,317,240.50 is: 24,166,124,798.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,413,123,162 : 15,863,317,240.50 = 15,863,317,240.50 : x
  2. Step 2: Convert to fraction form
    10,413,123,162/15,863,317,240.50 = 15,863,317,240.50/x
  3. Step 3: Cross multiply
    10,413,123,162x = 15,863,317,240.50 × 15,863,317,240.50
  4. Step 4: Simplify right side
    10,413,123,162x = 251,644,833,872,744,546,304
  5. Step 5: Solve for x
    x = 251,644,833,872,744,546,304/10,413,123,162
  6. Step 6: Final answer
    x = 24,166,124,798.28

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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.