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Finding the Third Proportional to 363,368,310 and 797,085,507

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Solution

The third proportional to 363,368,310 and 797,085,507 is: 1,748,488,483.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,368,310 : 797,085,507 = 797,085,507 : x
  2. Step 2: Convert to fraction form
    363,368,310/797,085,507 = 797,085,507/x
  3. Step 3: Cross multiply
    363,368,310x = 797,085,507 × 797,085,507
  4. Step 4: Simplify right side
    363,368,310x = 635,345,305,469,447,040
  5. Step 5: Solve for x
    x = 635,345,305,469,447,040/363,368,310
  6. Step 6: Final answer
    x = 1,748,488,483.96

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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.