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Finding the Third Proportional to 31,964,446.13 and 69,036,347.25

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Solution

The third proportional to 31,964,446.13 and 69,036,347.25 is: 149,103,701.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,964,446.13 : 69,036,347.25 = 69,036,347.25 : x
  2. Step 2: Convert to fraction form
    31,964,446.13/69,036,347.25 = 69,036,347.25/x
  3. Step 3: Cross multiply
    31,964,446.13x = 69,036,347.25 × 69,036,347.25
  4. Step 4: Simplify right side
    31,964,446.13x = 4,766,017,241,622,583
  5. Step 5: Solve for x
    x = 4,766,017,241,622,583/31,964,446.13
  6. Step 6: Final answer
    x = 149,103,701.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.