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Finding the Third Proportional to 461,084,355 and 995,788,152

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Solution

The third proportional to 461,084,355 and 995,788,152 is: 2,150,569,701.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,084,355 : 995,788,152 = 995,788,152 : x
  2. Step 2: Convert to fraction form
    461,084,355/995,788,152 = 995,788,152/x
  3. Step 3: Cross multiply
    461,084,355x = 995,788,152 × 995,788,152
  4. Step 4: Simplify right side
    461,084,355x = 991,594,043,663,575,040
  5. Step 5: Solve for x
    x = 991,594,043,663,575,040/461,084,355
  6. Step 6: Final answer
    x = 2,150,569,701.42

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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.