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Finding the Third Proportional to 9,912,771 and 15,434,550

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Solution

The third proportional to 9,912,771 and 15,434,550 is: 24,032,163.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,912,771 : 15,434,550 = 15,434,550 : x
  2. Step 2: Convert to fraction form
    9,912,771/15,434,550 = 15,434,550/x
  3. Step 3: Cross multiply
    9,912,771x = 15,434,550 × 15,434,550
  4. Step 4: Simplify right side
    9,912,771x = 238,225,333,702,500
  5. Step 5: Solve for x
    x = 238,225,333,702,500/9,912,771
  6. Step 6: Final answer
    x = 24,032,163.53

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.