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Finding the Third Proportional to 65,009,744 and 135,400,345

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Solution

The third proportional to 65,009,744 and 135,400,345 is: 282,007,777.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,009,744 : 135,400,345 = 135,400,345 : x
  2. Step 2: Convert to fraction form
    65,009,744/135,400,345 = 135,400,345/x
  3. Step 3: Cross multiply
    65,009,744x = 135,400,345 × 135,400,345
  4. Step 4: Simplify right side
    65,009,744x = 18,333,253,426,119,024
  5. Step 5: Solve for x
    x = 18,333,253,426,119,024/65,009,744
  6. Step 6: Final answer
    x = 282,007,777.57

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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.