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Finding the Third Proportional to 1,211,485,448 and 2,635,235,608

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Solution

The third proportional to 1,211,485,448 and 2,635,235,608 is: 5,732,191,600.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,211,485,448 : 2,635,235,608 = 2,635,235,608 : x
  2. Step 2: Convert to fraction form
    1,211,485,448/2,635,235,608 = 2,635,235,608/x
  3. Step 3: Cross multiply
    1,211,485,448x = 2,635,235,608 × 2,635,235,608
  4. Step 4: Simplify right side
    1,211,485,448x = 6,944,466,709,671,130,112
  5. Step 5: Solve for x
    x = 6,944,466,709,671,130,112/1,211,485,448
  6. Step 6: Final answer
    x = 5,732,191,600.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.