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Finding the Third Proportional to 368,350,530,498 and 801,563,025,348

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Solution

The third proportional to 368,350,530,498 and 801,563,025,348 is: 1,744,271,367,646.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,350,530,498 : 801,563,025,348 = 801,563,025,348 : x
  2. Step 2: Convert to fraction form
    368,350,530,498/801,563,025,348 = 801,563,025,348/x
  3. Step 3: Cross multiply
    368,350,530,498x = 801,563,025,348 × 801,563,025,348
  4. Step 4: Simplify right side
    368,350,530,498x = 642,503,283,605,038,449,033,216
  5. Step 5: Solve for x
    x = 642,503,283,605,038,449,033,216/368,350,530,498
  6. Step 6: Final answer
    x = 1,744,271,367,646.44

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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.