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Finding the Third Proportional to 461,084,360 and 995,788,160

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Solution

The third proportional to 461,084,360 and 995,788,160 is: 2,150,569,712.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,084,360 : 995,788,160 = 995,788,160 : x
  2. Step 2: Convert to fraction form
    461,084,360/995,788,160 = 995,788,160/x
  3. Step 3: Cross multiply
    461,084,360x = 995,788,160 × 995,788,160
  4. Step 4: Simplify right side
    461,084,360x = 991,594,059,596,185,600
  5. Step 5: Solve for x
    x = 991,594,059,596,185,600/461,084,360
  6. Step 6: Final answer
    x = 2,150,569,712.66

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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.