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Finding the Third Proportional to 436,381,569 and 969,618,240

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Solution

The third proportional to 436,381,569 and 969,618,240 is: 2,154,443,721.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,381,569 : 969,618,240 = 969,618,240 : x
  2. Step 2: Convert to fraction form
    436,381,569/969,618,240 = 969,618,240/x
  3. Step 3: Cross multiply
    436,381,569x = 969,618,240 × 969,618,240
  4. Step 4: Simplify right side
    436,381,569x = 940,159,531,340,697,600
  5. Step 5: Solve for x
    x = 940,159,531,340,697,600/436,381,569
  6. Step 6: Final answer
    x = 2,154,443,721.11

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.