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Finding the Third Proportional to 2,481,702,624 and 5,376,994,164

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Solution

The third proportional to 2,481,702,624 and 5,376,994,164 is: 11,650,092,948.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,481,702,624 : 5,376,994,164 = 5,376,994,164 : x
  2. Step 2: Convert to fraction form
    2,481,702,624/5,376,994,164 = 5,376,994,164/x
  3. Step 3: Cross multiply
    2,481,702,624x = 5,376,994,164 × 5,376,994,164
  4. Step 4: Simplify right side
    2,481,702,624x = 28,912,066,239,690,059,776
  5. Step 5: Solve for x
    x = 28,912,066,239,690,059,776/2,481,702,624
  6. Step 6: Final answer
    x = 11,650,092,948.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.