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Finding the Third Proportional to 454,866,012 and 665,240,376

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Solution

The third proportional to 454,866,012 and 665,240,376 is: 972,912,343.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,866,012 : 665,240,376 = 665,240,376 : x
  2. Step 2: Convert to fraction form
    454,866,012/665,240,376 = 665,240,376/x
  3. Step 3: Cross multiply
    454,866,012x = 665,240,376 × 665,240,376
  4. Step 4: Simplify right side
    454,866,012x = 442,544,757,860,621,376
  5. Step 5: Solve for x
    x = 442,544,757,860,621,376/454,866,012
  6. Step 6: Final answer
    x = 972,912,343.82

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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.