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Finding the Third Proportional to 6,041,313 and 9,149,715

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Solution

The third proportional to 6,041,313 and 9,149,715 is: 13,857,465.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,041,313 : 9,149,715 = 9,149,715 : x
  2. Step 2: Convert to fraction form
    6,041,313/9,149,715 = 9,149,715/x
  3. Step 3: Cross multiply
    6,041,313x = 9,149,715 × 9,149,715
  4. Step 4: Simplify right side
    6,041,313x = 83,717,284,581,225
  5. Step 5: Solve for x
    x = 83,717,284,581,225/6,041,313
  6. Step 6: Final answer
    x = 13,857,465.19

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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.