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Finding the Third Proportional to 31,037,496 and 67,447,200

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Solution

The third proportional to 31,037,496 and 67,447,200 is: 146,568,678.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,037,496 : 67,447,200 = 67,447,200 : x
  2. Step 2: Convert to fraction form
    31,037,496/67,447,200 = 67,447,200/x
  3. Step 3: Cross multiply
    31,037,496x = 67,447,200 × 67,447,200
  4. Step 4: Simplify right side
    31,037,496x = 4,549,124,787,840,000
  5. Step 5: Solve for x
    x = 4,549,124,787,840,000/31,037,496
  6. Step 6: Final answer
    x = 146,568,678.99

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.