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Finding the Third Proportional to 33,721,053,598,051 and 45,497,619,024,238

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Solution

The third proportional to 33,721,053,598,051 and 45,497,619,024,238 is: 61,386,970,927,692.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,721,053,598,051 : 45,497,619,024,238 = 45,497,619,024,238 : x
  2. Step 2: Convert to fraction form
    33,721,053,598,051/45,497,619,024,238 = 45,497,619,024,238/x
  3. Step 3: Cross multiply
    33,721,053,598,051x = 45,497,619,024,238 × 45,497,619,024,238
  4. Step 4: Simplify right side
    33,721,053,598,051x = 2,070,033,336,874,703,550,916,067,328
  5. Step 5: Solve for x
    x = 2,070,033,336,874,703,550,916,067,328/33,721,053,598,051
  6. Step 6: Final answer
    x = 61,386,970,927,692.09

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.