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Finding the Third Proportional to 31,575,156 and 68,022,948

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Solution

The third proportional to 31,575,156 and 68,022,948 is: 146,543,106.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,575,156 : 68,022,948 = 68,022,948 : x
  2. Step 2: Convert to fraction form
    31,575,156/68,022,948 = 68,022,948/x
  3. Step 3: Cross multiply
    31,575,156x = 68,022,948 × 68,022,948
  4. Step 4: Simplify right side
    31,575,156x = 4,627,121,454,610,704
  5. Step 5: Solve for x
    x = 4,627,121,454,610,704/31,575,156
  6. Step 6: Final answer
    x = 146,543,106.69

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.