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Finding the Third Proportional to 2,871,677.81 and 6,123,483.56

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Solution

The third proportional to 2,871,677.81 and 6,123,483.56 is: 13,057,541.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,871,677.81 : 6,123,483.56 = 6,123,483.56 : x
  2. Step 2: Convert to fraction form
    2,871,677.81/6,123,483.56 = 6,123,483.56/x
  3. Step 3: Cross multiply
    2,871,677.81x = 6,123,483.56 × 6,123,483.56
  4. Step 4: Simplify right side
    2,871,677.81x = 37,497,050,940,207.69
  5. Step 5: Solve for x
    x = 37,497,050,940,207.69/2,871,677.81
  6. Step 6: Final answer
    x = 13,057,541.06

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.