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Finding the Third Proportional to 9,943,500 and 15,049,674

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Solution

The third proportional to 9,943,500 and 15,049,674 is: 22,777,964.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,943,500 : 15,049,674 = 15,049,674 : x
  2. Step 2: Convert to fraction form
    9,943,500/15,049,674 = 15,049,674/x
  3. Step 3: Cross multiply
    9,943,500x = 15,049,674 × 15,049,674
  4. Step 4: Simplify right side
    9,943,500x = 226,492,687,506,276
  5. Step 5: Solve for x
    x = 226,492,687,506,276/9,943,500
  6. Step 6: Final answer
    x = 22,777,964.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.