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Finding the Third Proportional to 10,642,684 and 16,442,767

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Solution

The third proportional to 10,642,684 and 16,442,767 is: 25,403,797.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,642,684 : 16,442,767 = 16,442,767 : x
  2. Step 2: Convert to fraction form
    10,642,684/16,442,767 = 16,442,767/x
  3. Step 3: Cross multiply
    10,642,684x = 16,442,767 × 16,442,767
  4. Step 4: Simplify right side
    10,642,684x = 270,364,586,616,289
  5. Step 5: Solve for x
    x = 270,364,586,616,289/10,642,684
  6. Step 6: Final answer
    x = 25,403,797.26

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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.