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Finding the Third Proportional to 1,102,973,569 and 2,380,250,081

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Solution

The third proportional to 1,102,973,569 and 2,380,250,081 is: 5,136,651,146.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102,973,569 : 2,380,250,081 = 2,380,250,081 : x
  2. Step 2: Convert to fraction form
    1,102,973,569/2,380,250,081 = 2,380,250,081/x
  3. Step 3: Cross multiply
    1,102,973,569x = 2,380,250,081 × 2,380,250,081
  4. Step 4: Simplify right side
    1,102,973,569x = 5,665,590,448,100,506,624
  5. Step 5: Solve for x
    x = 5,665,590,448,100,506,624/1,102,973,569
  6. Step 6: Final answer
    x = 5,136,651,146.81

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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.