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Finding the Third Proportional to 64,496,325 and 140,329,638

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Solution

The third proportional to 64,496,325 and 140,329,638 is: 305,326,036.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,496,325 : 140,329,638 = 140,329,638 : x
  2. Step 2: Convert to fraction form
    64,496,325/140,329,638 = 140,329,638/x
  3. Step 3: Cross multiply
    64,496,325x = 140,329,638 × 140,329,638
  4. Step 4: Simplify right side
    64,496,325x = 19,692,407,301,211,044
  5. Step 5: Solve for x
    x = 19,692,407,301,211,044/64,496,325
  6. Step 6: Final answer
    x = 305,326,036.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.