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Finding the Third Proportional to 240,151,011 and 566,342,807

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Solution

The third proportional to 240,151,011 and 566,342,807 is: 1,335,593,690.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,151,011 : 566,342,807 = 566,342,807 : x
  2. Step 2: Convert to fraction form
    240,151,011/566,342,807 = 566,342,807/x
  3. Step 3: Cross multiply
    240,151,011x = 566,342,807 × 566,342,807
  4. Step 4: Simplify right side
    240,151,011x = 320,744,175,040,639,232
  5. Step 5: Solve for x
    x = 320,744,175,040,639,232/240,151,011
  6. Step 6: Final answer
    x = 1,335,593,690.42

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.