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Finding the Third Proportional to 2,152,175,356,549 and 4,743,032,593,636

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Solution

The third proportional to 2,152,175,356,549 and 4,743,032,593,636 is: 10,452,846,286,822.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,152,175,356,549 : 4,743,032,593,636 = 4,743,032,593,636 : x
  2. Step 2: Convert to fraction form
    2,152,175,356,549/4,743,032,593,636 = 4,743,032,593,636/x
  3. Step 3: Cross multiply
    2,152,175,356,549x = 4,743,032,593,636 × 4,743,032,593,636
  4. Step 4: Simplify right side
    2,152,175,356,549x = 22,496,358,184,293,442,089,123,840
  5. Step 5: Solve for x
    x = 22,496,358,184,293,442,089,123,840/2,152,175,356,549
  6. Step 6: Final answer
    x = 10,452,846,286,822.19

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.