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Finding the Third Proportional to 9,660,612 and 20,834,541

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Solution

The third proportional to 9,660,612 and 20,834,541 is: 44,932,774.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,660,612 : 20,834,541 = 20,834,541 : x
  2. Step 2: Convert to fraction form
    9,660,612/20,834,541 = 20,834,541/x
  3. Step 3: Cross multiply
    9,660,612x = 20,834,541 × 20,834,541
  4. Step 4: Simplify right side
    9,660,612x = 434,078,098,680,681
  5. Step 5: Solve for x
    x = 434,078,098,680,681/9,660,612
  6. Step 6: Final answer
    x = 44,932,774.31

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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.