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Finding the Third Proportional to 262,423,693.69 and 563,791,699.69

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Solution

The third proportional to 262,423,693.69 and 563,791,699.69 is: 1,211,251,454.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,423,693.69 : 563,791,699.69 = 563,791,699.69 : x
  2. Step 2: Convert to fraction form
    262,423,693.69/563,791,699.69 = 563,791,699.69/x
  3. Step 3: Cross multiply
    262,423,693.69x = 563,791,699.69 × 563,791,699.69
  4. Step 4: Simplify right side
    262,423,693.69x = 317,861,080,636,520,192
  5. Step 5: Solve for x
    x = 317,861,080,636,520,192/262,423,693.69
  6. Step 6: Final answer
    x = 1,211,251,454.36

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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.