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Finding the Third Proportional to 1,754,512,585 and 3,853,356,818

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Solution

The third proportional to 1,754,512,585 and 3,853,356,818 is: 8,462,953,696.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,754,512,585 : 3,853,356,818 = 3,853,356,818 : x
  2. Step 2: Convert to fraction form
    1,754,512,585/3,853,356,818 = 3,853,356,818/x
  3. Step 3: Cross multiply
    1,754,512,585x = 3,853,356,818 × 3,853,356,818
  4. Step 4: Simplify right side
    1,754,512,585x = 14,848,358,766,827,085,824
  5. Step 5: Solve for x
    x = 14,848,358,766,827,085,824/1,754,512,585
  6. Step 6: Final answer
    x = 8,462,953,696.53

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.