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Finding the Third Proportional to 64,672,023 and 137,810,166

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Solution

The third proportional to 64,672,023 and 137,810,166 is: 293,660,859.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,672,023 : 137,810,166 = 137,810,166 : x
  2. Step 2: Convert to fraction form
    64,672,023/137,810,166 = 137,810,166/x
  3. Step 3: Cross multiply
    64,672,023x = 137,810,166 × 137,810,166
  4. Step 4: Simplify right side
    64,672,023x = 18,991,641,852,947,556
  5. Step 5: Solve for x
    x = 18,991,641,852,947,556/64,672,023
  6. Step 6: Final answer
    x = 293,660,859.39

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.