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Finding the Third Proportional to 4,214,568,762 and 9,371,448,540

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Solution

The third proportional to 4,214,568,762 and 9,371,448,540 is: 20,838,204,973.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,214,568,762 : 9,371,448,540 = 9,371,448,540 : x
  2. Step 2: Convert to fraction form
    4,214,568,762/9,371,448,540 = 9,371,448,540/x
  3. Step 3: Cross multiply
    4,214,568,762x = 9,371,448,540 × 9,371,448,540
  4. Step 4: Simplify right side
    4,214,568,762x = 87,824,047,737,868,124,160
  5. Step 5: Solve for x
    x = 87,824,047,737,868,124,160/4,214,568,762
  6. Step 6: Final answer
    x = 20,838,204,973.60

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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.