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Finding the Third Proportional to 24,606,714 and 53,847,498

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Solution

The third proportional to 24,606,714 and 53,847,498 is: 117,835,849.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,606,714 : 53,847,498 = 53,847,498 : x
  2. Step 2: Convert to fraction form
    24,606,714/53,847,498 = 53,847,498/x
  3. Step 3: Cross multiply
    24,606,714x = 53,847,498 × 53,847,498
  4. Step 4: Simplify right side
    24,606,714x = 2,899,553,040,860,004
  5. Step 5: Solve for x
    x = 2,899,553,040,860,004/24,606,714
  6. Step 6: Final answer
    x = 117,835,849.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.