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Finding the Third Proportional to 5,785,973 and 12,600,535

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Solution

The third proportional to 5,785,973 and 12,600,535 is: 27,441,103.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,785,973 : 12,600,535 = 12,600,535 : x
  2. Step 2: Convert to fraction form
    5,785,973/12,600,535 = 12,600,535/x
  3. Step 3: Cross multiply
    5,785,973x = 12,600,535 × 12,600,535
  4. Step 4: Simplify right side
    5,785,973x = 158,773,482,286,225
  5. Step 5: Solve for x
    x = 158,773,482,286,225/5,785,973
  6. Step 6: Final answer
    x = 27,441,103.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.