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Finding the Third Proportional to 5,680,002 and 12,400,830

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Solution

The third proportional to 5,680,002 and 12,400,830 is: 27,074,037.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,680,002 : 12,400,830 = 12,400,830 : x
  2. Step 2: Convert to fraction form
    5,680,002/12,400,830 = 12,400,830/x
  3. Step 3: Cross multiply
    5,680,002x = 12,400,830 × 12,400,830
  4. Step 4: Simplify right side
    5,680,002x = 153,780,584,688,900
  5. Step 5: Solve for x
    x = 153,780,584,688,900/5,680,002
  6. Step 6: Final answer
    x = 27,074,037.07

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.