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Finding the Third Proportional to 7,670,442,496.50 and 17,921,614,719

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Solution

The third proportional to 7,670,442,496.50 and 17,921,614,719 is: 41,872,978,551.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,670,442,496.50 : 17,921,614,719 = 17,921,614,719 : x
  2. Step 2: Convert to fraction form
    7,670,442,496.50/17,921,614,719 = 17,921,614,719/x
  3. Step 3: Cross multiply
    7,670,442,496.50x = 17,921,614,719 × 17,921,614,719
  4. Step 4: Simplify right side
    7,670,442,496.50x = 321,184,274,136,277,450,752
  5. Step 5: Solve for x
    x = 321,184,274,136,277,450,752/7,670,442,496.50
  6. Step 6: Final answer
    x = 41,872,978,551.48

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.