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Finding the Third Proportional to 11,216,463 and 24,347,211

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Solution

The third proportional to 11,216,463 and 24,347,211 is: 52,849,698.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,216,463 : 24,347,211 = 24,347,211 : x
  2. Step 2: Convert to fraction form
    11,216,463/24,347,211 = 24,347,211/x
  3. Step 3: Cross multiply
    11,216,463x = 24,347,211 × 24,347,211
  4. Step 4: Simplify right side
    11,216,463x = 592,786,683,478,521
  5. Step 5: Solve for x
    x = 592,786,683,478,521/11,216,463
  6. Step 6: Final answer
    x = 52,849,698.12

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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.