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Finding the Third Proportional to 5,182,948.50 and 11,277,466

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Solution

The third proportional to 5,182,948.50 and 11,277,466 is: 24,538,395.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,182,948.50 : 11,277,466 = 11,277,466 : x
  2. Step 2: Convert to fraction form
    5,182,948.50/11,277,466 = 11,277,466/x
  3. Step 3: Cross multiply
    5,182,948.50x = 11,277,466 × 11,277,466
  4. Step 4: Simplify right side
    5,182,948.50x = 127,181,239,381,156
  5. Step 5: Solve for x
    x = 127,181,239,381,156/5,182,948.50
  6. Step 6: Final answer
    x = 24,538,395.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.