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Finding the Third Proportional to 469,900,185 and 995,816,328

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Solution

The third proportional to 469,900,185 and 995,816,328 is: 2,110,342,133.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,900,185 : 995,816,328 = 995,816,328 : x
  2. Step 2: Convert to fraction form
    469,900,185/995,816,328 = 995,816,328/x
  3. Step 3: Cross multiply
    469,900,185x = 995,816,328 × 995,816,328
  4. Step 4: Simplify right side
    469,900,185x = 991,650,159,111,403,520
  5. Step 5: Solve for x
    x = 991,650,159,111,403,520/469,900,185
  6. Step 6: Final answer
    x = 2,110,342,133.85

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.