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Finding the Third Proportional to 268,466,040 and 414,567,612

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Solution

The third proportional to 268,466,040 and 414,567,612 is: 640,178,940.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,466,040 : 414,567,612 = 414,567,612 : x
  2. Step 2: Convert to fraction form
    268,466,040/414,567,612 = 414,567,612/x
  3. Step 3: Cross multiply
    268,466,040x = 414,567,612 × 414,567,612
  4. Step 4: Simplify right side
    268,466,040x = 171,866,304,919,382,528
  5. Step 5: Solve for x
    x = 171,866,304,919,382,528/268,466,040
  6. Step 6: Final answer
    x = 640,178,940.02

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.