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Finding the Third Proportional to 2,099,389,626 and 4,510,333,764

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Solution

The third proportional to 2,099,389,626 and 4,510,333,764 is: 9,690,011,997.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099,389,626 : 4,510,333,764 = 4,510,333,764 : x
  2. Step 2: Convert to fraction form
    2,099,389,626/4,510,333,764 = 4,510,333,764/x
  3. Step 3: Cross multiply
    2,099,389,626x = 4,510,333,764 × 4,510,333,764
  4. Step 4: Simplify right side
    2,099,389,626x = 20,343,110,662,678,409,216
  5. Step 5: Solve for x
    x = 20,343,110,662,678,409,216/2,099,389,626
  6. Step 6: Final answer
    x = 9,690,011,997.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.