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Finding the Third Proportional to 1,229,475,666 and 1,888,625,010

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Solution

The third proportional to 1,229,475,666 and 1,888,625,010 is: 2,901,159,028.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,229,475,666 : 1,888,625,010 = 1,888,625,010 : x
  2. Step 2: Convert to fraction form
    1,229,475,666/1,888,625,010 = 1,888,625,010/x
  3. Step 3: Cross multiply
    1,229,475,666x = 1,888,625,010 × 1,888,625,010
  4. Step 4: Simplify right side
    1,229,475,666x = 3,566,904,428,397,499,904
  5. Step 5: Solve for x
    x = 3,566,904,428,397,499,904/1,229,475,666
  6. Step 6: Final answer
    x = 2,901,159,028.22

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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.