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Finding the Third Proportional to 268,381,746 and 587,012,004

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Solution

The third proportional to 268,381,746 and 587,012,004 is: 1,283,928,948.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,381,746 : 587,012,004 = 587,012,004 : x
  2. Step 2: Convert to fraction form
    268,381,746/587,012,004 = 587,012,004/x
  3. Step 3: Cross multiply
    268,381,746x = 587,012,004 × 587,012,004
  4. Step 4: Simplify right side
    268,381,746x = 344,583,092,840,096,000
  5. Step 5: Solve for x
    x = 344,583,092,840,096,000/268,381,746
  6. Step 6: Final answer
    x = 1,283,928,948.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.