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Finding the Third Proportional to 2,188,891,746,496 and 4,707,204,174,081

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Solution

The third proportional to 2,188,891,746,496 and 4,707,204,174,081 is: 10,122,826,390,092.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,188,891,746,496 : 4,707,204,174,081 = 4,707,204,174,081 : x
  2. Step 2: Convert to fraction form
    2,188,891,746,496/4,707,204,174,081 = 4,707,204,174,081/x
  3. Step 3: Cross multiply
    2,188,891,746,496x = 4,707,204,174,081 × 4,707,204,174,081
  4. Step 4: Simplify right side
    2,188,891,746,496x = 22,157,771,136,485,588,838,907,904
  5. Step 5: Solve for x
    x = 22,157,771,136,485,588,838,907,904/2,188,891,746,496
  6. Step 6: Final answer
    x = 10,122,826,390,092.60

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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.