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Finding the Third Proportional to 10,642,664 and 16,442,744

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Solution

The third proportional to 10,642,664 and 16,442,744 is: 25,403,773.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,642,664 : 16,442,744 = 16,442,744 : x
  2. Step 2: Convert to fraction form
    10,642,664/16,442,744 = 16,442,744/x
  3. Step 3: Cross multiply
    10,642,664x = 16,442,744 × 16,442,744
  4. Step 4: Simplify right side
    10,642,664x = 270,363,830,249,536
  5. Step 5: Solve for x
    x = 270,363,830,249,536/10,642,664
  6. Step 6: Final answer
    x = 25,403,773.93

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.