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Finding the Third Proportional to 11,216,469 and 24,347,224

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Solution

The third proportional to 11,216,469 and 24,347,224 is: 52,849,726.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,216,469 : 24,347,224 = 24,347,224 : x
  2. Step 2: Convert to fraction form
    11,216,469/24,347,224 = 24,347,224/x
  3. Step 3: Cross multiply
    11,216,469x = 24,347,224 × 24,347,224
  4. Step 4: Simplify right side
    11,216,469x = 592,787,316,506,176
  5. Step 5: Solve for x
    x = 592,787,316,506,176/11,216,469
  6. Step 6: Final answer
    x = 52,849,726.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.