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Finding the Third Proportional to 1,299,225,832 and 3,066,041,081

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Solution

The third proportional to 1,299,225,832 and 3,066,041,081 is: 7,235,545,721.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299,225,832 : 3,066,041,081 = 3,066,041,081 : x
  2. Step 2: Convert to fraction form
    1,299,225,832/3,066,041,081 = 3,066,041,081/x
  3. Step 3: Cross multiply
    1,299,225,832x = 3,066,041,081 × 3,066,041,081
  4. Step 4: Simplify right side
    1,299,225,832x = 9,400,607,910,379,649,024
  5. Step 5: Solve for x
    x = 9,400,607,910,379,649,024/1,299,225,832
  6. Step 6: Final answer
    x = 7,235,545,721.80

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.