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Finding the Third Proportional to 2,510,260 and 5,466,164

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Solution

The third proportional to 2,510,260 and 5,466,164 is: 11,902,730.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,510,260 : 5,466,164 = 5,466,164 : x
  2. Step 2: Convert to fraction form
    2,510,260/5,466,164 = 5,466,164/x
  3. Step 3: Cross multiply
    2,510,260x = 5,466,164 × 5,466,164
  4. Step 4: Simplify right side
    2,510,260x = 29,878,948,874,896
  5. Step 5: Solve for x
    x = 29,878,948,874,896/2,510,260
  6. Step 6: Final answer
    x = 11,902,730.74

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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.