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Finding the Third Proportional to 246,971,037 and 487,696,002

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Solution

The third proportional to 246,971,037 and 487,696,002 is: 963,057,827.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,971,037 : 487,696,002 = 487,696,002 : x
  2. Step 2: Convert to fraction form
    246,971,037/487,696,002 = 487,696,002/x
  3. Step 3: Cross multiply
    246,971,037x = 487,696,002 × 487,696,002
  4. Step 4: Simplify right side
    246,971,037x = 237,847,390,366,784,000
  5. Step 5: Solve for x
    x = 237,847,390,366,784,000/246,971,037
  6. Step 6: Final answer
    x = 963,057,827.57

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.