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Finding the Third Proportional to 1,526,171,700 and 3,305,885,388

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Solution

The third proportional to 1,526,171,700 and 3,305,885,388 is: 7,160,975,530.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,526,171,700 : 3,305,885,388 = 3,305,885,388 : x
  2. Step 2: Convert to fraction form
    1,526,171,700/3,305,885,388 = 3,305,885,388/x
  3. Step 3: Cross multiply
    1,526,171,700x = 3,305,885,388 × 3,305,885,388
  4. Step 4: Simplify right side
    1,526,171,700x = 10,928,878,198,591,909,888
  5. Step 5: Solve for x
    x = 10,928,878,198,591,909,888/1,526,171,700
  6. Step 6: Final answer
    x = 7,160,975,530.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.