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Finding the Third Proportional to 9,713,536 and 14,255,376

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Solution

The third proportional to 9,713,536 and 14,255,376 is: 20,920,882.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,713,536 : 14,255,376 = 14,255,376 : x
  2. Step 2: Convert to fraction form
    9,713,536/14,255,376 = 14,255,376/x
  3. Step 3: Cross multiply
    9,713,536x = 14,255,376 × 14,255,376
  4. Step 4: Simplify right side
    9,713,536x = 203,215,744,901,376
  5. Step 5: Solve for x
    x = 203,215,744,901,376/9,713,536
  6. Step 6: Final answer
    x = 20,920,882.46

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.