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Finding the Third Proportional to 31,516,724 and 69,012,158

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Solution

The third proportional to 31,516,724 and 69,012,158 is: 151,115,894.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,516,724 : 69,012,158 = 69,012,158 : x
  2. Step 2: Convert to fraction form
    31,516,724/69,012,158 = 69,012,158/x
  3. Step 3: Cross multiply
    31,516,724x = 69,012,158 × 69,012,158
  4. Step 4: Simplify right side
    31,516,724x = 4,762,677,951,816,964
  5. Step 5: Solve for x
    x = 4,762,677,951,816,964/31,516,724
  6. Step 6: Final answer
    x = 151,115,894.91

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.