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Finding the Third Proportional to 23,642,742 and 51,057,708

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Solution

The third proportional to 23,642,742 and 51,057,708 is: 110,261,726.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,642,742 : 51,057,708 = 51,057,708 : x
  2. Step 2: Convert to fraction form
    23,642,742/51,057,708 = 51,057,708/x
  3. Step 3: Cross multiply
    23,642,742x = 51,057,708 × 51,057,708
  4. Step 4: Simplify right side
    23,642,742x = 2,606,889,546,213,264
  5. Step 5: Solve for x
    x = 2,606,889,546,213,264/23,642,742
  6. Step 6: Final answer
    x = 110,261,726.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.