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Finding the Third Proportional to 7,891,545,233 and 17,172,320,312

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Solution

The third proportional to 7,891,545,233 and 17,172,320,312 is: 37,367,660,729.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,891,545,233 : 17,172,320,312 = 17,172,320,312 : x
  2. Step 2: Convert to fraction form
    7,891,545,233/17,172,320,312 = 17,172,320,312/x
  3. Step 3: Cross multiply
    7,891,545,233x = 17,172,320,312 × 17,172,320,312
  4. Step 4: Simplify right side
    7,891,545,233x = 294,888,584,897,927,774,208
  5. Step 5: Solve for x
    x = 294,888,584,897,927,774,208/7,891,545,233
  6. Step 6: Final answer
    x = 37,367,660,729.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.