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Finding the Third Proportional to 1,272,993,480 and 2,741,864,400

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Solution

The third proportional to 1,272,993,480 and 2,741,864,400 is: 5,905,623,639.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,272,993,480 : 2,741,864,400 = 2,741,864,400 : x
  2. Step 2: Convert to fraction form
    1,272,993,480/2,741,864,400 = 2,741,864,400/x
  3. Step 3: Cross multiply
    1,272,993,480x = 2,741,864,400 × 2,741,864,400
  4. Step 4: Simplify right side
    1,272,993,480x = 7,517,820,387,987,359,744
  5. Step 5: Solve for x
    x = 7,517,820,387,987,359,744/1,272,993,480
  6. Step 6: Final answer
    x = 5,905,623,639.16

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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.