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Finding the Third Proportional to 262,423,751.25 and 563,791,894.50

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Solution

The third proportional to 262,423,751.25 and 563,791,894.50 is: 1,211,252,025.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,423,751.25 : 563,791,894.50 = 563,791,894.50 : x
  2. Step 2: Convert to fraction form
    262,423,751.25/563,791,894.50 = 563,791,894.50/x
  3. Step 3: Cross multiply
    262,423,751.25x = 563,791,894.50 × 563,791,894.50
  4. Step 4: Simplify right side
    262,423,751.25x = 317,861,300,303,899,136
  5. Step 5: Solve for x
    x = 317,861,300,303,899,136/262,423,751.25
  6. Step 6: Final answer
    x = 1,211,252,025.74

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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.