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Finding the Third Proportional to 413,353,268 and 886,053,832

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Solution

The third proportional to 413,353,268 and 886,053,832 is: 1,899,323,058.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,353,268 : 886,053,832 = 886,053,832 : x
  2. Step 2: Convert to fraction form
    413,353,268/886,053,832 = 886,053,832/x
  3. Step 3: Cross multiply
    413,353,268x = 886,053,832 × 886,053,832
  4. Step 4: Simplify right side
    413,353,268x = 785,091,393,201,884,160
  5. Step 5: Solve for x
    x = 785,091,393,201,884,160/413,353,268
  6. Step 6: Final answer
    x = 1,899,323,058.46

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.