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Finding the Third Proportional to 2,760,476.68 and 5,896,711.56

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Solution

The third proportional to 2,760,476.68 and 5,896,711.56 is: 12,596,088.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,760,476.68 : 5,896,711.56 = 5,896,711.56 : x
  2. Step 2: Convert to fraction form
    2,760,476.68/5,896,711.56 = 5,896,711.56/x
  3. Step 3: Cross multiply
    2,760,476.68x = 5,896,711.56 × 5,896,711.56
  4. Step 4: Simplify right side
    2,760,476.68x = 34,771,207,274,356.11
  5. Step 5: Solve for x
    x = 34,771,207,274,356.11/2,760,476.68
  6. Step 6: Final answer
    x = 12,596,088.04

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.