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Finding the Third Proportional to 9,138,900 and 14,196,426

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Solution

The third proportional to 9,138,900 and 14,196,426 is: 22,052,819.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,138,900 : 14,196,426 = 14,196,426 : x
  2. Step 2: Convert to fraction form
    9,138,900/14,196,426 = 14,196,426/x
  3. Step 3: Cross multiply
    9,138,900x = 14,196,426 × 14,196,426
  4. Step 4: Simplify right side
    9,138,900x = 201,538,511,173,476
  5. Step 5: Solve for x
    x = 201,538,511,173,476/9,138,900
  6. Step 6: Final answer
    x = 22,052,819.40

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.