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Finding the Third Proportional to 224,787,513,247 and 485,402,257,656

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Solution

The third proportional to 224,787,513,247 and 485,402,257,656 is: 1,048,169,216,937.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,787,513,247 : 485,402,257,656 = 485,402,257,656 : x
  2. Step 2: Convert to fraction form
    224,787,513,247/485,402,257,656 = 485,402,257,656/x
  3. Step 3: Cross multiply
    224,787,513,247x = 485,402,257,656 × 485,402,257,656
  4. Step 4: Simplify right side
    224,787,513,247x = 235,615,351,737,541,812,289,536
  5. Step 5: Solve for x
    x = 235,615,351,737,541,812,289,536/224,787,513,247
  6. Step 6: Final answer
    x = 1,048,169,216,937.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.