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Finding the Third Proportional to 1,720,151,698 and 2,656,269,927

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Solution

The third proportional to 1,720,151,698 and 2,656,269,927 is: 4,101,830,049.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,720,151,698 : 2,656,269,927 = 2,656,269,927 : x
  2. Step 2: Convert to fraction form
    1,720,151,698/2,656,269,927 = 2,656,269,927/x
  3. Step 3: Cross multiply
    1,720,151,698x = 2,656,269,927 × 2,656,269,927
  4. Step 4: Simplify right side
    1,720,151,698x = 7,055,769,925,084,584,960
  5. Step 5: Solve for x
    x = 7,055,769,925,084,584,960/1,720,151,698
  6. Step 6: Final answer
    x = 4,101,830,049.81

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.