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Finding the Third Proportional to 865,689,032 and 1,816,408,624

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Solution

The third proportional to 865,689,032 and 1,816,408,624 is: 3,811,230,323.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    865,689,032 : 1,816,408,624 = 1,816,408,624 : x
  2. Step 2: Convert to fraction form
    865,689,032/1,816,408,624 = 1,816,408,624/x
  3. Step 3: Cross multiply
    865,689,032x = 1,816,408,624 × 1,816,408,624
  4. Step 4: Simplify right side
    865,689,032x = 3,299,340,289,341,573,120
  5. Step 5: Solve for x
    x = 3,299,340,289,341,573,120/865,689,032
  6. Step 6: Final answer
    x = 3,811,230,323.34

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.