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Finding the Third Proportional to 369,916,182.60 and 804,952,514.21

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Solution

The third proportional to 369,916,182.60 and 804,952,514.21 is: 1,751,609,095.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,916,182.60 : 804,952,514.21 = 804,952,514.21 : x
  2. Step 2: Convert to fraction form
    369,916,182.60/804,952,514.21 = 804,952,514.21/x
  3. Step 3: Cross multiply
    369,916,182.60x = 804,952,514.21 × 804,952,514.21
  4. Step 4: Simplify right side
    369,916,182.60x = 647,948,550,140,808,192
  5. Step 5: Solve for x
    x = 647,948,550,140,808,192/369,916,182.60
  6. Step 6: Final answer
    x = 1,751,609,095.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.