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Finding the Third Proportional to 205,437,486,322 and 416,651,407,652

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Solution

The third proportional to 205,437,486,322 and 416,651,407,652 is: 845,018,105,538.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,437,486,322 : 416,651,407,652 = 416,651,407,652 : x
  2. Step 2: Convert to fraction form
    205,437,486,322/416,651,407,652 = 416,651,407,652/x
  3. Step 3: Cross multiply
    205,437,486,322x = 416,651,407,652 × 416,651,407,652
  4. Step 4: Simplify right side
    205,437,486,322x = 173,598,395,498,393,071,779,840
  5. Step 5: Solve for x
    x = 173,598,395,498,393,071,779,840/205,437,486,322
  6. Step 6: Final answer
    x = 845,018,105,538.43

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.