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Finding the Third Proportional to 2,376,912 and 5,187,312

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Solution

The third proportional to 2,376,912 and 5,187,312 is: 11,320,657.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,376,912 : 5,187,312 = 5,187,312 : x
  2. Step 2: Convert to fraction form
    2,376,912/5,187,312 = 5,187,312/x
  3. Step 3: Cross multiply
    2,376,912x = 5,187,312 × 5,187,312
  4. Step 4: Simplify right side
    2,376,912x = 26,908,205,785,344
  5. Step 5: Solve for x
    x = 26,908,205,785,344/2,376,912
  6. Step 6: Final answer
    x = 11,320,657.13

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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.