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Finding the Third Proportional to 9,290,416 and 19,432,304

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Solution

The third proportional to 9,290,416 and 19,432,304 is: 40,645,589.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,290,416 : 19,432,304 = 19,432,304 : x
  2. Step 2: Convert to fraction form
    9,290,416/19,432,304 = 19,432,304/x
  3. Step 3: Cross multiply
    9,290,416x = 19,432,304 × 19,432,304
  4. Step 4: Simplify right side
    9,290,416x = 377,614,438,748,416
  5. Step 5: Solve for x
    x = 377,614,438,748,416/9,290,416
  6. Step 6: Final answer
    x = 40,645,589.90

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.