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Finding the Third Proportional to 6,041,306 and 9,149,702

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Solution

The third proportional to 6,041,306 and 9,149,702 is: 13,857,441.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,041,306 : 9,149,702 = 9,149,702 : x
  2. Step 2: Convert to fraction form
    6,041,306/9,149,702 = 9,149,702/x
  3. Step 3: Cross multiply
    6,041,306x = 9,149,702 × 9,149,702
  4. Step 4: Simplify right side
    6,041,306x = 83,717,046,688,804
  5. Step 5: Solve for x
    x = 83,717,046,688,804/6,041,306
  6. Step 6: Final answer
    x = 13,857,441.87

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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.