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Finding the Third Proportional to 4,192,875 and 8,983,712

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Solution

The third proportional to 4,192,875 and 8,983,712 is: 19,248,625.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,192,875 : 8,983,712 = 8,983,712 : x
  2. Step 2: Convert to fraction form
    4,192,875/8,983,712 = 8,983,712/x
  3. Step 3: Cross multiply
    4,192,875x = 8,983,712 × 8,983,712
  4. Step 4: Simplify right side
    4,192,875x = 80,707,081,298,944
  5. Step 5: Solve for x
    x = 80,707,081,298,944/4,192,875
  6. Step 6: Final answer
    x = 19,248,625.66

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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.