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Finding the Third Proportional to 31,045,902 and 65,309,097

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Solution

The third proportional to 31,045,902 and 65,309,097 is: 137,386,188.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,045,902 : 65,309,097 = 65,309,097 : x
  2. Step 2: Convert to fraction form
    31,045,902/65,309,097 = 65,309,097/x
  3. Step 3: Cross multiply
    31,045,902x = 65,309,097 × 65,309,097
  4. Step 4: Simplify right side
    31,045,902x = 4,265,278,150,955,409
  5. Step 5: Solve for x
    x = 4,265,278,150,955,409/31,045,902
  6. Step 6: Final answer
    x = 137,386,188.71

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.