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Finding the Third Proportional to 81,818,053,348 and 191,163,890,418

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Solution

The third proportional to 81,818,053,348 and 191,163,890,418 is: 446,645,104,648.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,818,053,348 : 191,163,890,418 = 191,163,890,418 : x
  2. Step 2: Convert to fraction form
    81,818,053,348/191,163,890,418 = 191,163,890,418/x
  3. Step 3: Cross multiply
    81,818,053,348x = 191,163,890,418 × 191,163,890,418
  4. Step 4: Simplify right side
    81,818,053,348x = 36,543,632,999,745,113,292,800
  5. Step 5: Solve for x
    x = 36,543,632,999,745,113,292,800/81,818,053,348
  6. Step 6: Final answer
    x = 446,645,104,648.39

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.