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Finding the Third Proportional to 3,305,882.81 and 5,108,428.13

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Solution

The third proportional to 3,305,882.81 and 5,108,428.13 is: 7,893,818.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,305,882.81 : 5,108,428.13 = 5,108,428.13 : x
  2. Step 2: Convert to fraction form
    3,305,882.81/5,108,428.13 = 5,108,428.13/x
  3. Step 3: Cross multiply
    3,305,882.81x = 5,108,428.13 × 5,108,428.13
  4. Step 4: Simplify right side
    3,305,882.81x = 26,096,037,908,291.02
  5. Step 5: Solve for x
    x = 26,096,037,908,291.02/3,305,882.81
  6. Step 6: Final answer
    x = 7,893,818.20

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.