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Finding the Third Proportional to 5,053,083,828 and 11,268,035,382

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Solution

The third proportional to 5,053,083,828 and 11,268,035,382 is: 25,126,957,258.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,053,083,828 : 11,268,035,382 = 11,268,035,382 : x
  2. Step 2: Convert to fraction form
    5,053,083,828/11,268,035,382 = 11,268,035,382/x
  3. Step 3: Cross multiply
    5,053,083,828x = 11,268,035,382 × 11,268,035,382
  4. Step 4: Simplify right side
    5,053,083,828x = 126,968,621,370,003,881,984
  5. Step 5: Solve for x
    x = 126,968,621,370,003,881,984/5,053,083,828
  6. Step 6: Final answer
    x = 25,126,957,258.55

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.