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Finding the Third Proportional to 31,631,072 and 69,063,038

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Solution

The third proportional to 31,631,072 and 69,063,038 is: 150,791,703.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,631,072 : 69,063,038 = 69,063,038 : x
  2. Step 2: Convert to fraction form
    31,631,072/69,063,038 = 69,063,038/x
  3. Step 3: Cross multiply
    31,631,072x = 69,063,038 × 69,063,038
  4. Step 4: Simplify right side
    31,631,072x = 4,769,703,217,789,444
  5. Step 5: Solve for x
    x = 4,769,703,217,789,444/31,631,072
  6. Step 6: Final answer
    x = 150,791,703.10

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.