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Finding the Third Proportional to 10,867,770 and 23,257,287

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Solution

The third proportional to 10,867,770 and 23,257,287 is: 49,771,148.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,867,770 : 23,257,287 = 23,257,287 : x
  2. Step 2: Convert to fraction form
    10,867,770/23,257,287 = 23,257,287/x
  3. Step 3: Cross multiply
    10,867,770x = 23,257,287 × 23,257,287
  4. Step 4: Simplify right side
    10,867,770x = 540,901,398,600,369
  5. Step 5: Solve for x
    x = 540,901,398,600,369/10,867,770
  6. Step 6: Final answer
    x = 49,771,148.87

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.