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Finding the Third Proportional to 2,481,702,354 and 5,376,993,624

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Solution

The third proportional to 2,481,702,354 and 5,376,993,624 is: 11,650,091,875.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,481,702,354 : 5,376,993,624 = 5,376,993,624 : x
  2. Step 2: Convert to fraction form
    2,481,702,354/5,376,993,624 = 5,376,993,624/x
  3. Step 3: Cross multiply
    2,481,702,354x = 5,376,993,624 × 5,376,993,624
  4. Step 4: Simplify right side
    2,481,702,354x = 28,912,060,432,536,653,824
  5. Step 5: Solve for x
    x = 28,912,060,432,536,653,824/2,481,702,354
  6. Step 6: Final answer
    x = 11,650,091,875.82

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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.