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Finding the Third Proportional to 461,826,336 and 995,840,160

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Solution

The third proportional to 461,826,336 and 995,840,160 is: 2,147,338,830.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,826,336 : 995,840,160 = 995,840,160 : x
  2. Step 2: Convert to fraction form
    461,826,336/995,840,160 = 995,840,160/x
  3. Step 3: Cross multiply
    461,826,336x = 995,840,160 × 995,840,160
  4. Step 4: Simplify right side
    461,826,336x = 991,697,624,268,825,600
  5. Step 5: Solve for x
    x = 991,697,624,268,825,600/461,826,336
  6. Step 6: Final answer
    x = 2,147,338,830.56

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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.