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Finding the Third Proportional to 65,720,972 and 146,553,256

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Solution

The third proportional to 65,720,972 and 146,553,256 is: 326,803,700.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,720,972 : 146,553,256 = 146,553,256 : x
  2. Step 2: Convert to fraction form
    65,720,972/146,553,256 = 146,553,256/x
  3. Step 3: Cross multiply
    65,720,972x = 146,553,256 × 146,553,256
  4. Step 4: Simplify right side
    65,720,972x = 21,477,856,844,201,536
  5. Step 5: Solve for x
    x = 21,477,856,844,201,536/65,720,972
  6. Step 6: Final answer
    x = 326,803,700.41

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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.