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Finding the Third Proportional to 342,022,468 and 732,473,873

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Solution

The third proportional to 342,022,468 and 732,473,873 is: 1,568,662,952.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,022,468 : 732,473,873 = 732,473,873 : x
  2. Step 2: Convert to fraction form
    342,022,468/732,473,873 = 732,473,873/x
  3. Step 3: Cross multiply
    342,022,468x = 732,473,873 × 732,473,873
  4. Step 4: Simplify right side
    342,022,468x = 536,517,974,627,620,160
  5. Step 5: Solve for x
    x = 536,517,974,627,620,160/342,022,468
  6. Step 6: Final answer
    x = 1,568,662,952.95

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.