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Finding the Third Proportional to 15,745,724 and 34,518,171

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Solution

The third proportional to 15,745,724 and 34,518,171 is: 75,671,600.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,745,724 : 34,518,171 = 34,518,171 : x
  2. Step 2: Convert to fraction form
    15,745,724/34,518,171 = 34,518,171/x
  3. Step 3: Cross multiply
    15,745,724x = 34,518,171 × 34,518,171
  4. Step 4: Simplify right side
    15,745,724x = 1,191,504,129,185,241
  5. Step 5: Solve for x
    x = 1,191,504,129,185,241/15,745,724
  6. Step 6: Final answer
    x = 75,671,600.06

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.