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Finding the Third Proportional to 663,269,462 and 1,419,712,508

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Solution

The third proportional to 663,269,462 and 1,419,712,508 is: 3,038,860,856.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,269,462 : 1,419,712,508 = 1,419,712,508 : x
  2. Step 2: Convert to fraction form
    663,269,462/1,419,712,508 = 1,419,712,508/x
  3. Step 3: Cross multiply
    663,269,462x = 1,419,712,508 × 1,419,712,508
  4. Step 4: Simplify right side
    663,269,462x = 2,015,583,605,371,650,048
  5. Step 5: Solve for x
    x = 2,015,583,605,371,650,048/663,269,462
  6. Step 6: Final answer
    x = 3,038,860,856.48

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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.