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Finding the Third Proportional to 363,368,307.23 and 797,085,501.33

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Solution

The third proportional to 363,368,307.23 and 797,085,501.33 is: 1,748,488,472.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,368,307.23 : 797,085,501.33 = 797,085,501.33 : x
  2. Step 2: Convert to fraction form
    363,368,307.23/797,085,501.33 = 797,085,501.33/x
  3. Step 3: Cross multiply
    363,368,307.23x = 797,085,501.33 × 797,085,501.33
  4. Step 4: Simplify right side
    363,368,307.23x = 635,345,296,427,468,416
  5. Step 5: Solve for x
    x = 635,345,296,427,468,416/363,368,307.23
  6. Step 6: Final answer
    x = 1,748,488,472.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.