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Finding the Third Proportional to 30,672,252 and 65,653,164

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Solution

The third proportional to 30,672,252 and 65,653,164 is: 140,528,903.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,672,252 : 65,653,164 = 65,653,164 : x
  2. Step 2: Convert to fraction form
    30,672,252/65,653,164 = 65,653,164/x
  3. Step 3: Cross multiply
    30,672,252x = 65,653,164 × 65,653,164
  4. Step 4: Simplify right side
    30,672,252x = 4,310,337,943,210,896
  5. Step 5: Solve for x
    x = 4,310,337,943,210,896/30,672,252
  6. Step 6: Final answer
    x = 140,528,903.56

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.