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Finding the Third Proportional to 8,538,840 and 18,298,024

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Solution

The third proportional to 8,538,840 and 18,298,024 is: 39,211,143.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,538,840 : 18,298,024 = 18,298,024 : x
  2. Step 2: Convert to fraction form
    8,538,840/18,298,024 = 18,298,024/x
  3. Step 3: Cross multiply
    8,538,840x = 18,298,024 × 18,298,024
  4. Step 4: Simplify right side
    8,538,840x = 334,817,682,304,576
  5. Step 5: Solve for x
    x = 334,817,682,304,576/8,538,840
  6. Step 6: Final answer
    x = 39,211,143.70

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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.