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Finding the Third Proportional to 5,221,723 and 7,982,703

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Solution

The third proportional to 5,221,723 and 7,982,703 is: 12,203,547.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,221,723 : 7,982,703 = 7,982,703 : x
  2. Step 2: Convert to fraction form
    5,221,723/7,982,703 = 7,982,703/x
  3. Step 3: Cross multiply
    5,221,723x = 7,982,703 × 7,982,703
  4. Step 4: Simplify right side
    5,221,723x = 63,723,547,186,209
  5. Step 5: Solve for x
    x = 63,723,547,186,209/5,221,723
  6. Step 6: Final answer
    x = 12,203,547.98

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.