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Finding the Third Proportional to 226,684,344,580 and 496,071,246,348

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Solution

The third proportional to 226,684,344,580 and 496,071,246,348 is: 1,085,591,869,651.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,684,344,580 : 496,071,246,348 = 496,071,246,348 : x
  2. Step 2: Convert to fraction form
    226,684,344,580/496,071,246,348 = 496,071,246,348/x
  3. Step 3: Cross multiply
    226,684,344,580x = 496,071,246,348 × 496,071,246,348
  4. Step 4: Simplify right side
    226,684,344,580x = 246,086,681,453,258,109,616,128
  5. Step 5: Solve for x
    x = 246,086,681,453,258,109,616,128/226,684,344,580
  6. Step 6: Final answer
    x = 1,085,591,869,651.20

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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.