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Finding the Third Proportional to 10,614,678 and 23,216,724

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Solution

The third proportional to 10,614,678 and 23,216,724 is: 50,780,275.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,614,678 : 23,216,724 = 23,216,724 : x
  2. Step 2: Convert to fraction form
    10,614,678/23,216,724 = 23,216,724/x
  3. Step 3: Cross multiply
    10,614,678x = 23,216,724 × 23,216,724
  4. Step 4: Simplify right side
    10,614,678x = 539,016,273,292,176
  5. Step 5: Solve for x
    x = 539,016,273,292,176/10,614,678
  6. Step 6: Final answer
    x = 50,780,275.51

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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.