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Finding the Third Proportional to 7,225,542 and 10,638,714

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Solution

The third proportional to 7,225,542 and 10,638,714 is: 15,664,186.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,225,542 : 10,638,714 = 10,638,714 : x
  2. Step 2: Convert to fraction form
    7,225,542/10,638,714 = 10,638,714/x
  3. Step 3: Cross multiply
    7,225,542x = 10,638,714 × 10,638,714
  4. Step 4: Simplify right side
    7,225,542x = 113,182,235,573,796
  5. Step 5: Solve for x
    x = 113,182,235,573,796/7,225,542
  6. Step 6: Final answer
    x = 15,664,186.24

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.