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Finding the Third Proportional to 2,466,299,717 and 3,563,377,189

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Solution

The third proportional to 2,466,299,717 and 3,563,377,189 is: 5,148,464,683.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,466,299,717 : 3,563,377,189 = 3,563,377,189 : x
  2. Step 2: Convert to fraction form
    2,466,299,717/3,563,377,189 = 3,563,377,189/x
  3. Step 3: Cross multiply
    2,466,299,717x = 3,563,377,189 × 3,563,377,189
  4. Step 4: Simplify right side
    2,466,299,717x = 12,697,656,991,085,541,376
  5. Step 5: Solve for x
    x = 12,697,656,991,085,541,376/2,466,299,717
  6. Step 6: Final answer
    x = 5,148,464,683.17

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.