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Finding the Third Proportional to 4,074,386 and 8,634,466

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Solution

The third proportional to 4,074,386 and 8,634,466 is: 18,298,217.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,074,386 : 8,634,466 = 8,634,466 : x
  2. Step 2: Convert to fraction form
    4,074,386/8,634,466 = 8,634,466/x
  3. Step 3: Cross multiply
    4,074,386x = 8,634,466 × 8,634,466
  4. Step 4: Simplify right side
    4,074,386x = 74,554,003,105,156
  5. Step 5: Solve for x
    x = 74,554,003,105,156/4,074,386
  6. Step 6: Final answer
    x = 18,298,217.97

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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.