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Finding the Third Proportional to 7,125,414 and 10,749,033

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Solution

The third proportional to 7,125,414 and 10,749,033 is: 16,215,438.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,125,414 : 10,749,033 = 10,749,033 : x
  2. Step 2: Convert to fraction form
    7,125,414/10,749,033 = 10,749,033/x
  3. Step 3: Cross multiply
    7,125,414x = 10,749,033 × 10,749,033
  4. Step 4: Simplify right side
    7,125,414x = 115,541,710,435,089
  5. Step 5: Solve for x
    x = 115,541,710,435,089/7,125,414
  6. Step 6: Final answer
    x = 16,215,438.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.