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Finding the Third Proportional to 2,152,175,356,539 and 4,743,032,593,617

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Solution

The third proportional to 2,152,175,356,539 and 4,743,032,593,617 is: 10,452,846,286,787.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,152,175,356,539 : 4,743,032,593,617 = 4,743,032,593,617 : x
  2. Step 2: Convert to fraction form
    2,152,175,356,539/4,743,032,593,617 = 4,743,032,593,617/x
  3. Step 3: Cross multiply
    2,152,175,356,539x = 4,743,032,593,617 × 4,743,032,593,617
  4. Step 4: Simplify right side
    2,152,175,356,539x = 22,496,358,184,113,203,786,547,200
  5. Step 5: Solve for x
    x = 22,496,358,184,113,203,786,547,200/2,152,175,356,539
  6. Step 6: Final answer
    x = 10,452,846,286,787.01

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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.