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Finding the Third Proportional to 14,838,597 and 32,215,173.75

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Solution

The third proportional to 14,838,597 and 32,215,173.75 is: 69,940,400.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,838,597 : 32,215,173.75 = 32,215,173.75 : x
  2. Step 2: Convert to fraction form
    14,838,597/32,215,173.75 = 32,215,173.75/x
  3. Step 3: Cross multiply
    14,838,597x = 32,215,173.75 × 32,215,173.75
  4. Step 4: Simplify right side
    14,838,597x = 1,037,817,419,742,689
  5. Step 5: Solve for x
    x = 1,037,817,419,742,689/14,838,597
  6. Step 6: Final answer
    x = 69,940,400.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.