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Finding the Third Proportional to 4,074,410 and 8,634,514

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Solution

The third proportional to 4,074,410 and 8,634,514 is: 18,298,313.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,074,410 : 8,634,514 = 8,634,514 : x
  2. Step 2: Convert to fraction form
    4,074,410/8,634,514 = 8,634,514/x
  3. Step 3: Cross multiply
    4,074,410x = 8,634,514 × 8,634,514
  4. Step 4: Simplify right side
    4,074,410x = 74,554,832,016,196
  5. Step 5: Solve for x
    x = 74,554,832,016,196/4,074,410
  6. Step 6: Final answer
    x = 18,298,313.62

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.