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Finding the Third Proportional to 262,423,746 and 563,791,883

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Solution

The third proportional to 262,423,746 and 563,791,883 is: 1,211,252,000.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,423,746 : 563,791,883 = 563,791,883 : x
  2. Step 2: Convert to fraction form
    262,423,746/563,791,883 = 563,791,883/x
  3. Step 3: Cross multiply
    262,423,746x = 563,791,883 × 563,791,883
  4. Step 4: Simplify right side
    262,423,746x = 317,861,287,336,685,696
  5. Step 5: Solve for x
    x = 317,861,287,336,685,696/262,423,746
  6. Step 6: Final answer
    x = 1,211,252,000.56

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.