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Finding the Third Proportional to 404,715,882,782 and 899,920,460,658

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Solution

The third proportional to 404,715,882,782 and 899,920,460,658 is: 2,001,050,292,229.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,715,882,782 : 899,920,460,658 = 899,920,460,658 : x
  2. Step 2: Convert to fraction form
    404,715,882,782/899,920,460,658 = 899,920,460,658/x
  3. Step 3: Cross multiply
    404,715,882,782x = 899,920,460,658 × 899,920,460,658
  4. Step 4: Simplify right side
    404,715,882,782x = 809,856,835,510,906,870,824,960
  5. Step 5: Solve for x
    x = 809,856,835,510,906,870,824,960/404,715,882,782
  6. Step 6: Final answer
    x = 2,001,050,292,229.66

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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.