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Finding the Third Proportional to 4,164,840,888.75 and 9,008,994,147.75

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Solution

The third proportional to 4,164,840,888.75 and 9,008,994,147.75 is: 19,487,413,258.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,164,840,888.75 : 9,008,994,147.75 = 9,008,994,147.75 : x
  2. Step 2: Convert to fraction form
    4,164,840,888.75/9,008,994,147.75 = 9,008,994,147.75/x
  3. Step 3: Cross multiply
    4,164,840,888.75x = 9,008,994,147.75 × 9,008,994,147.75
  4. Step 4: Simplify right side
    4,164,840,888.75x = 81,161,975,554,193,752,064
  5. Step 5: Solve for x
    x = 81,161,975,554,193,752,064/4,164,840,888.75
  6. Step 6: Final answer
    x = 19,487,413,258.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.