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Finding the Third Proportional to 24,674,107 and 53,462,633

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Solution

The third proportional to 24,674,107 and 53,462,633 is: 115,840,185.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,674,107 : 53,462,633 = 53,462,633 : x
  2. Step 2: Convert to fraction form
    24,674,107/53,462,633 = 53,462,633/x
  3. Step 3: Cross multiply
    24,674,107x = 53,462,633 × 53,462,633
  4. Step 4: Simplify right side
    24,674,107x = 2,858,253,127,292,689
  5. Step 5: Solve for x
    x = 2,858,253,127,292,689/24,674,107
  6. Step 6: Final answer
    x = 115,840,185.31

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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.