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Finding the Third Proportional to 1,000,864,997.16 and 2,152,356,735.09

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Solution

The third proportional to 1,000,864,997.16 and 2,152,356,735.09 is: 4,628,635,758.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000,864,997.16 : 2,152,356,735.09 = 2,152,356,735.09 : x
  2. Step 2: Convert to fraction form
    1,000,864,997.16/2,152,356,735.09 = 2,152,356,735.09/x
  3. Step 3: Cross multiply
    1,000,864,997.16x = 2,152,356,735.09 × 2,152,356,735.09
  4. Step 4: Simplify right side
    1,000,864,997.16x = 4,632,639,515,103,642,624
  5. Step 5: Solve for x
    x = 4,632,639,515,103,642,624/1,000,864,997.16
  6. Step 6: Final answer
    x = 4,628,635,758.34

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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.