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Finding the Third Proportional to 454,866,048 and 665,240,412

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Solution

The third proportional to 454,866,048 and 665,240,412 is: 972,912,372.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,866,048 : 665,240,412 = 665,240,412 : x
  2. Step 2: Convert to fraction form
    454,866,048/665,240,412 = 665,240,412/x
  3. Step 3: Cross multiply
    454,866,048x = 665,240,412 × 665,240,412
  4. Step 4: Simplify right side
    454,866,048x = 442,544,805,757,929,728
  5. Step 5: Solve for x
    x = 442,544,805,757,929,728/454,866,048
  6. Step 6: Final answer
    x = 972,912,372.12

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.