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Finding the Third Proportional to 262,423,743.75 and 563,791,879.13

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Solution

The third proportional to 262,423,743.75 and 563,791,879.13 is: 1,211,251,994.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,423,743.75 : 563,791,879.13 = 563,791,879.13 : x
  2. Step 2: Convert to fraction form
    262,423,743.75/563,791,879.13 = 563,791,879.13/x
  3. Step 3: Cross multiply
    262,423,743.75x = 563,791,879.13 × 563,791,879.13
  4. Step 4: Simplify right side
    262,423,743.75x = 317,861,282,967,298,624
  5. Step 5: Solve for x
    x = 317,861,282,967,298,624/262,423,743.75
  6. Step 6: Final answer
    x = 1,211,251,994.29

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