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Finding the Third Proportional to 442,920,176 and 969,253,624

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Solution

The third proportional to 442,920,176 and 969,253,624 is: 2,121,042,658.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,920,176 : 969,253,624 = 969,253,624 : x
  2. Step 2: Convert to fraction form
    442,920,176/969,253,624 = 969,253,624/x
  3. Step 3: Cross multiply
    442,920,176x = 969,253,624 × 969,253,624
  4. Step 4: Simplify right side
    442,920,176x = 939,452,587,637,133,312
  5. Step 5: Solve for x
    x = 939,452,587,637,133,312/442,920,176
  6. Step 6: Final answer
    x = 2,121,042,658.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.