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Finding the Third Proportional to 81,579,878,696 and 175,557,211,312

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Solution

The third proportional to 81,579,878,696 and 175,557,211,312 is: 377,793,335,026.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,579,878,696 : 175,557,211,312 = 175,557,211,312 : x
  2. Step 2: Convert to fraction form
    81,579,878,696/175,557,211,312 = 175,557,211,312/x
  3. Step 3: Cross multiply
    81,579,878,696x = 175,557,211,312 × 175,557,211,312
  4. Step 4: Simplify right side
    81,579,878,696x = 30,820,334,443,646,221,811,712
  5. Step 5: Solve for x
    x = 30,820,334,443,646,221,811,712/81,579,878,696
  6. Step 6: Final answer
    x = 377,793,335,026.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.