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Finding the Third Proportional to 65,009,524 and 135,399,888

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Solution

The third proportional to 65,009,524 and 135,399,888 is: 282,006,828.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,009,524 : 135,399,888 = 135,399,888 : x
  2. Step 2: Convert to fraction form
    65,009,524/135,399,888 = 135,399,888/x
  3. Step 3: Cross multiply
    65,009,524x = 135,399,888 × 135,399,888
  4. Step 4: Simplify right side
    65,009,524x = 18,333,129,670,412,544
  5. Step 5: Solve for x
    x = 18,333,129,670,412,544/65,009,524
  6. Step 6: Final answer
    x = 282,006,828.27

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.