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Finding the Third Proportional to 30,524,416.13 and 65,479,949.63

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Solution

The third proportional to 30,524,416.13 and 65,479,949.63 is: 140,465,383.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,524,416.13 : 65,479,949.63 = 65,479,949.63 : x
  2. Step 2: Convert to fraction form
    30,524,416.13/65,479,949.63 = 65,479,949.63/x
  3. Step 3: Cross multiply
    30,524,416.13x = 65,479,949.63 × 65,479,949.63
  4. Step 4: Simplify right side
    30,524,416.13x = 4,287,623,802,892,537.50
  5. Step 5: Solve for x
    x = 4,287,623,802,892,537.50/30,524,416.13
  6. Step 6: Final answer
    x = 140,465,383.03

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.