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Finding the Third Proportional to 3,181,872,369 and 6,454,471,886.25

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Solution

The third proportional to 3,181,872,369 and 6,454,471,886.25 is: 13,092,985,041.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,181,872,369 : 6,454,471,886.25 = 6,454,471,886.25 : x
  2. Step 2: Convert to fraction form
    3,181,872,369/6,454,471,886.25 = 6,454,471,886.25/x
  3. Step 3: Cross multiply
    3,181,872,369x = 6,454,471,886.25 × 6,454,471,886.25
  4. Step 4: Simplify right side
    3,181,872,369x = 41,660,207,330,391,629,824
  5. Step 5: Solve for x
    x = 41,660,207,330,391,629,824/3,181,872,369
  6. Step 6: Final answer
    x = 13,092,985,041.22

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.