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Finding the Third Proportional to 6,408,661,663,805.10 and 13,747,645,282,742

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Solution

The third proportional to 6,408,661,663,805.10 and 13,747,645,282,742 is: 29,490,985,908,574.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,408,661,663,805.10 : 13,747,645,282,742 = 13,747,645,282,742 : x
  2. Step 2: Convert to fraction form
    6,408,661,663,805.10/13,747,645,282,742 = 13,747,645,282,742/x
  3. Step 3: Cross multiply
    6,408,661,663,805.10x = 13,747,645,282,742 × 13,747,645,282,742
  4. Step 4: Simplify right side
    6,408,661,663,805.10x = 188,997,750,820,098,361,396,297,728
  5. Step 5: Solve for x
    x = 188,997,750,820,098,361,396,297,728/6,408,661,663,805.10
  6. Step 6: Final answer
    x = 29,490,985,908,574.59

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.