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Finding the Third Proportional to 5,829,277 and 8,151,572

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Solution

The third proportional to 5,829,277 and 8,151,572 is: 11,399,033.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,829,277 : 8,151,572 = 8,151,572 : x
  2. Step 2: Convert to fraction form
    5,829,277/8,151,572 = 8,151,572/x
  3. Step 3: Cross multiply
    5,829,277x = 8,151,572 × 8,151,572
  4. Step 4: Simplify right side
    5,829,277x = 66,448,126,071,184
  5. Step 5: Solve for x
    x = 66,448,126,071,184/5,829,277
  6. Step 6: Final answer
    x = 11,399,033.89

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.