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Finding the Third Proportional to 5,341,802 and 12,597,341

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Solution

The third proportional to 5,341,802 and 12,597,341 is: 29,707,765.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,341,802 : 12,597,341 = 12,597,341 : x
  2. Step 2: Convert to fraction form
    5,341,802/12,597,341 = 12,597,341/x
  3. Step 3: Cross multiply
    5,341,802x = 12,597,341 × 12,597,341
  4. Step 4: Simplify right side
    5,341,802x = 158,693,000,270,281
  5. Step 5: Solve for x
    x = 158,693,000,270,281/5,341,802
  6. Step 6: Final answer
    x = 29,707,765.33

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.