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Finding the Third Proportional to 2,721,380,774,623 and 5,830,929,354,532

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Solution

The third proportional to 2,721,380,774,623 and 5,830,929,354,532 is: 12,493,561,156,377.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,721,380,774,623 : 5,830,929,354,532 = 5,830,929,354,532 : x
  2. Step 2: Convert to fraction form
    2,721,380,774,623/5,830,929,354,532 = 5,830,929,354,532/x
  3. Step 3: Cross multiply
    2,721,380,774,623x = 5,830,929,354,532 × 5,830,929,354,532
  4. Step 4: Simplify right side
    2,721,380,774,623x = 33,999,737,137,542,967,207,133,184
  5. Step 5: Solve for x
    x = 33,999,737,137,542,967,207,133,184/2,721,380,774,623
  6. Step 6: Final answer
    x = 12,493,561,156,377.70

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.