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Finding the Third Proportional to 1,028,607,354 and 2,253,727,470

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Solution

The third proportional to 1,028,607,354 and 2,253,727,470 is: 4,938,023,716.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028,607,354 : 2,253,727,470 = 2,253,727,470 : x
  2. Step 2: Convert to fraction form
    1,028,607,354/2,253,727,470 = 2,253,727,470/x
  3. Step 3: Cross multiply
    1,028,607,354x = 2,253,727,470 × 2,253,727,470
  4. Step 4: Simplify right side
    1,028,607,354x = 5,079,287,509,032,600,576
  5. Step 5: Solve for x
    x = 5,079,287,509,032,600,576/1,028,607,354
  6. Step 6: Final answer
    x = 4,938,023,716.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.