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Finding the Third Proportional to 1,451,915,024 and 2,231,697,432

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Solution

The third proportional to 1,451,915,024 and 2,231,697,432 is: 3,430,278,870.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,451,915,024 : 2,231,697,432 = 2,231,697,432 : x
  2. Step 2: Convert to fraction form
    1,451,915,024/2,231,697,432 = 2,231,697,432/x
  3. Step 3: Cross multiply
    1,451,915,024x = 2,231,697,432 × 2,231,697,432
  4. Step 4: Simplify right side
    1,451,915,024x = 4,980,473,427,995,395,072
  5. Step 5: Solve for x
    x = 4,980,473,427,995,395,072/1,451,915,024
  6. Step 6: Final answer
    x = 3,430,278,870.09

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.