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Finding the Third Proportional to 865,689,038 and 1,816,408,636

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Solution

The third proportional to 865,689,038 and 1,816,408,636 is: 3,811,230,347.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    865,689,038 : 1,816,408,636 = 1,816,408,636 : x
  2. Step 2: Convert to fraction form
    865,689,038/1,816,408,636 = 1,816,408,636/x
  3. Step 3: Cross multiply
    865,689,038x = 1,816,408,636 × 1,816,408,636
  4. Step 4: Simplify right side
    865,689,038x = 3,299,340,332,935,380,480
  5. Step 5: Solve for x
    x = 3,299,340,332,935,380,480/865,689,038
  6. Step 6: Final answer
    x = 3,811,230,347.28

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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.