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Finding the Third Proportional to 8,538,837 and 18,298,020

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Solution

The third proportional to 8,538,837 and 18,298,020 is: 39,211,140.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,538,837 : 18,298,020 = 18,298,020 : x
  2. Step 2: Convert to fraction form
    8,538,837/18,298,020 = 18,298,020/x
  3. Step 3: Cross multiply
    8,538,837x = 18,298,020 × 18,298,020
  4. Step 4: Simplify right side
    8,538,837x = 334,817,535,920,400
  5. Step 5: Solve for x
    x = 334,817,535,920,400/8,538,837
  6. Step 6: Final answer
    x = 39,211,140.34

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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.