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Finding the Third Proportional to 2,144,691,744 and 4,628,129,376

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Solution

The third proportional to 2,144,691,744 and 4,628,129,376 is: 9,987,254,150.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,144,691,744 : 4,628,129,376 = 4,628,129,376 : x
  2. Step 2: Convert to fraction form
    2,144,691,744/4,628,129,376 = 4,628,129,376/x
  3. Step 3: Cross multiply
    2,144,691,744x = 4,628,129,376 × 4,628,129,376
  4. Step 4: Simplify right side
    2,144,691,744x = 21,419,581,520,994,148,352
  5. Step 5: Solve for x
    x = 21,419,581,520,994,148,352/2,144,691,744
  6. Step 6: Final answer
    x = 9,987,254,150.12

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.