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Finding the Third Proportional to 1,088,122,610 and 2,360,987,380

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Solution

The third proportional to 1,088,122,610 and 2,360,987,380 is: 5,122,824,723.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,088,122,610 : 2,360,987,380 = 2,360,987,380 : x
  2. Step 2: Convert to fraction form
    1,088,122,610/2,360,987,380 = 2,360,987,380/x
  3. Step 3: Cross multiply
    1,088,122,610x = 2,360,987,380 × 2,360,987,380
  4. Step 4: Simplify right side
    1,088,122,610x = 5,574,261,408,519,264,256
  5. Step 5: Solve for x
    x = 5,574,261,408,519,264,256/1,088,122,610
  6. Step 6: Final answer
    x = 5,122,824,723.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.