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Finding the Third Proportional to 363,368,312.25 and 797,085,511.50

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Solution

The third proportional to 363,368,312.25 and 797,085,511.50 is: 1,748,488,492.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,368,312.25 : 797,085,511.50 = 797,085,511.50 : x
  2. Step 2: Convert to fraction form
    363,368,312.25/797,085,511.50 = 797,085,511.50/x
  3. Step 3: Cross multiply
    363,368,312.25x = 797,085,511.50 × 797,085,511.50
  4. Step 4: Simplify right side
    363,368,312.25x = 635,345,312,643,216,640
  5. Step 5: Solve for x
    x = 635,345,312,643,216,640/363,368,312.25
  6. Step 6: Final answer
    x = 1,748,488,492.87

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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.