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Finding the Third Proportional to 1,018,955,205 and 2,222,370,279

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Solution

The third proportional to 1,018,955,205 and 2,222,370,279 is: 4,847,052,777.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018,955,205 : 2,222,370,279 = 2,222,370,279 : x
  2. Step 2: Convert to fraction form
    1,018,955,205/2,222,370,279 = 2,222,370,279/x
  3. Step 3: Cross multiply
    1,018,955,205x = 2,222,370,279 × 2,222,370,279
  4. Step 4: Simplify right side
    1,018,955,205x = 4,938,929,656,982,538,240
  5. Step 5: Solve for x
    x = 4,938,929,656,982,538,240/1,018,955,205
  6. Step 6: Final answer
    x = 4,847,052,777.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.