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Finding the Third Proportional to 5,857,742.81 and 12,723,009.19

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Solution

The third proportional to 5,857,742.81 and 12,723,009.19 is: 27,634,358.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,857,742.81 : 12,723,009.19 = 12,723,009.19 : x
  2. Step 2: Convert to fraction form
    5,857,742.81/12,723,009.19 = 12,723,009.19/x
  3. Step 3: Cross multiply
    5,857,742.81x = 12,723,009.19 × 12,723,009.19
  4. Step 4: Simplify right side
    5,857,742.81x = 161,874,962,785,209.41
  5. Step 5: Solve for x
    x = 161,874,962,785,209.41/5,857,742.81
  6. Step 6: Final answer
    x = 27,634,358.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.