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Finding the Third Proportional to 7,182,130 and 10,847,674

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Solution

The third proportional to 7,182,130 and 10,847,674 is: 16,384,001.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,182,130 : 10,847,674 = 10,847,674 : x
  2. Step 2: Convert to fraction form
    7,182,130/10,847,674 = 10,847,674/x
  3. Step 3: Cross multiply
    7,182,130x = 10,847,674 × 10,847,674
  4. Step 4: Simplify right side
    7,182,130x = 117,672,031,210,276
  5. Step 5: Solve for x
    x = 117,672,031,210,276/7,182,130
  6. Step 6: Final answer
    x = 16,384,001.85

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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.