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Finding the Third Proportional to 2,878,750,008 and 4,422,881,223

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Solution

The third proportional to 2,878,750,008 and 4,422,881,223 is: 6,795,268,174.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,878,750,008 : 4,422,881,223 = 4,422,881,223 : x
  2. Step 2: Convert to fraction form
    2,878,750,008/4,422,881,223 = 4,422,881,223/x
  3. Step 3: Cross multiply
    2,878,750,008x = 4,422,881,223 × 4,422,881,223
  4. Step 4: Simplify right side
    2,878,750,008x = 19,561,878,312,765,976,576
  5. Step 5: Solve for x
    x = 19,561,878,312,765,976,576/2,878,750,008
  6. Step 6: Final answer
    x = 6,795,268,174.87

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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.