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Finding the Third Proportional to 65,720,974 and 146,553,260

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Solution

The third proportional to 65,720,974 and 146,553,260 is: 326,803,708.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,720,974 : 146,553,260 = 146,553,260 : x
  2. Step 2: Convert to fraction form
    65,720,974/146,553,260 = 146,553,260/x
  3. Step 3: Cross multiply
    65,720,974x = 146,553,260 × 146,553,260
  4. Step 4: Simplify right side
    65,720,974x = 21,477,858,016,627,600
  5. Step 5: Solve for x
    x = 21,477,858,016,627,600/65,720,974
  6. Step 6: Final answer
    x = 326,803,708.31

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.