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Finding the Third Proportional to 4,851,633,159 and 7,258,055,388.75

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Solution

The third proportional to 4,851,633,159 and 7,258,055,388.75 is: 10,858,069,087.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,851,633,159 : 7,258,055,388.75 = 7,258,055,388.75 : x
  2. Step 2: Convert to fraction form
    4,851,633,159/7,258,055,388.75 = 7,258,055,388.75/x
  3. Step 3: Cross multiply
    4,851,633,159x = 7,258,055,388.75 × 7,258,055,388.75
  4. Step 4: Simplify right side
    4,851,633,159x = 52,679,368,026,162,913,280
  5. Step 5: Solve for x
    x = 52,679,368,026,162,913,280/4,851,633,159
  6. Step 6: Final answer
    x = 10,858,069,087.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.