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Finding the Third Proportional to 803,346,845,218 and 1,747,902,760,520

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Solution

The third proportional to 803,346,845,218 and 1,747,902,760,520 is: 3,803,044,822,320.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    803,346,845,218 : 1,747,902,760,520 = 1,747,902,760,520 : x
  2. Step 2: Convert to fraction form
    803,346,845,218/1,747,902,760,520 = 1,747,902,760,520/x
  3. Step 3: Cross multiply
    803,346,845,218x = 1,747,902,760,520 × 1,747,902,760,520
  4. Step 4: Simplify right side
    803,346,845,218x = 3,055,164,060,233,436,539,912,192
  5. Step 5: Solve for x
    x = 3,055,164,060,233,436,539,912,192/803,346,845,218
  6. Step 6: Final answer
    x = 3,803,044,822,320.02

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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.