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Finding the Third Proportional to 4,125,024,928 and 6,542,544,981

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Solution

The third proportional to 4,125,024,928 and 6,542,544,981 is: 10,376,881,491.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,125,024,928 : 6,542,544,981 = 6,542,544,981 : x
  2. Step 2: Convert to fraction form
    4,125,024,928/6,542,544,981 = 6,542,544,981/x
  3. Step 3: Cross multiply
    4,125,024,928x = 6,542,544,981 × 6,542,544,981
  4. Step 4: Simplify right side
    4,125,024,928x = 42,804,894,828,408,291,328
  5. Step 5: Solve for x
    x = 42,804,894,828,408,291,328/4,125,024,928
  6. Step 6: Final answer
    x = 10,376,881,491.76

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.