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Finding the Third Proportional to 461,826,348 and 995,840,184

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Solution

The third proportional to 461,826,348 and 995,840,184 is: 2,147,338,878.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,826,348 : 995,840,184 = 995,840,184 : x
  2. Step 2: Convert to fraction form
    461,826,348/995,840,184 = 995,840,184/x
  3. Step 3: Cross multiply
    461,826,348x = 995,840,184 × 995,840,184
  4. Step 4: Simplify right side
    461,826,348x = 991,697,672,069,153,792
  5. Step 5: Solve for x
    x = 991,697,672,069,153,792/461,826,348
  6. Step 6: Final answer
    x = 2,147,338,878.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.