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Finding the Third Proportional to 9,746,442 and 15,151,233

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Solution

The third proportional to 9,746,442 and 15,151,233 is: 23,553,196.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,746,442 : 15,151,233 = 15,151,233 : x
  2. Step 2: Convert to fraction form
    9,746,442/15,151,233 = 15,151,233/x
  3. Step 3: Cross multiply
    9,746,442x = 15,151,233 × 15,151,233
  4. Step 4: Simplify right side
    9,746,442x = 229,559,861,420,289
  5. Step 5: Solve for x
    x = 229,559,861,420,289/9,746,442
  6. Step 6: Final answer
    x = 23,553,196.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.