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Finding the Third Proportional to 7,357,824 and 16,084,224

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Solution

The third proportional to 7,357,824 and 16,084,224 is: 35,160,158.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,357,824 : 16,084,224 = 16,084,224 : x
  2. Step 2: Convert to fraction form
    7,357,824/16,084,224 = 16,084,224/x
  3. Step 3: Cross multiply
    7,357,824x = 16,084,224 × 16,084,224
  4. Step 4: Simplify right side
    7,357,824x = 258,702,261,682,176
  5. Step 5: Solve for x
    x = 258,702,261,682,176/7,357,824
  6. Step 6: Final answer
    x = 35,160,158.99

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.