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Finding the Third Proportional to 65,009,746 and 135,400,350

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Solution

The third proportional to 65,009,746 and 135,400,350 is: 282,007,789.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,009,746 : 135,400,350 = 135,400,350 : x
  2. Step 2: Convert to fraction form
    65,009,746/135,400,350 = 135,400,350/x
  3. Step 3: Cross multiply
    65,009,746x = 135,400,350 × 135,400,350
  4. Step 4: Simplify right side
    65,009,746x = 18,333,254,780,122,500
  5. Step 5: Solve for x
    x = 18,333,254,780,122,500/65,009,746
  6. Step 6: Final answer
    x = 282,007,789.73

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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.