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Finding the Third Proportional to 262,423,812.66 and 563,792,022.84

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Solution

The third proportional to 262,423,812.66 and 563,792,022.84 is: 1,211,252,293.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,423,812.66 : 563,792,022.84 = 563,792,022.84 : x
  2. Step 2: Convert to fraction form
    262,423,812.66/563,792,022.84 = 563,792,022.84/x
  3. Step 3: Cross multiply
    262,423,812.66x = 563,792,022.84 × 563,792,022.84
  4. Step 4: Simplify right side
    262,423,812.66x = 317,861,445,022,247,552
  5. Step 5: Solve for x
    x = 317,861,445,022,247,552/262,423,812.66
  6. Step 6: Final answer
    x = 1,211,252,293.78

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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.