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Finding the Third Proportional to 635,356,356,570 and 1,361,354,639,328

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Solution

The third proportional to 635,356,356,570 and 1,361,354,639,328 is: 2,916,924,391,887.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,356,356,570 : 1,361,354,639,328 = 1,361,354,639,328 : x
  2. Step 2: Convert to fraction form
    635,356,356,570/1,361,354,639,328 = 1,361,354,639,328/x
  3. Step 3: Cross multiply
    635,356,356,570x = 1,361,354,639,328 × 1,361,354,639,328
  4. Step 4: Simplify right side
    635,356,356,570x = 1,853,286,454,019,868,957,081,600
  5. Step 5: Solve for x
    x = 1,853,286,454,019,868,957,081,600/635,356,356,570
  6. Step 6: Final answer
    x = 2,916,924,391,887.60

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.