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Finding the Third Proportional to 15,969,897 and 34,742,314

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Solution

The third proportional to 15,969,897 and 34,742,314 is: 75,581,475.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,969,897 : 34,742,314 = 34,742,314 : x
  2. Step 2: Convert to fraction form
    15,969,897/34,742,314 = 34,742,314/x
  3. Step 3: Cross multiply
    15,969,897x = 34,742,314 × 34,742,314
  4. Step 4: Simplify right side
    15,969,897x = 1,207,028,382,074,596
  5. Step 5: Solve for x
    x = 1,207,028,382,074,596/15,969,897
  6. Step 6: Final answer
    x = 75,581,475.70

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Why These Related Problems?

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