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Finding the Third Proportional to 416,422,312 and 914,553,624

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Solution

The third proportional to 416,422,312 and 914,553,624 is: 2,008,557,916.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,422,312 : 914,553,624 = 914,553,624 : x
  2. Step 2: Convert to fraction form
    416,422,312/914,553,624 = 914,553,624/x
  3. Step 3: Cross multiply
    416,422,312x = 914,553,624 × 914,553,624
  4. Step 4: Simplify right side
    416,422,312x = 836,408,331,171,533,312
  5. Step 5: Solve for x
    x = 836,408,331,171,533,312/416,422,312
  6. Step 6: Final answer
    x = 2,008,557,916.01

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.