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Finding the Third Proportional to 2,011,728.38 and 4,311,091.13

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Solution

The third proportional to 2,011,728.38 and 4,311,091.13 is: 9,238,576.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,011,728.38 : 4,311,091.13 = 4,311,091.13 : x
  2. Step 2: Convert to fraction form
    2,011,728.38/4,311,091.13 = 4,311,091.13/x
  3. Step 3: Cross multiply
    2,011,728.38x = 4,311,091.13 × 4,311,091.13
  4. Step 4: Simplify right side
    2,011,728.38x = 18,585,506,688,053.77
  5. Step 5: Solve for x
    x = 18,585,506,688,053.77/2,011,728.38
  6. Step 6: Final answer
    x = 9,238,576.60

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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.