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Finding the Third Proportional to 4,207,116 and 9,210,288

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Solution

The third proportional to 4,207,116 and 9,210,288 is: 20,163,314.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,207,116 : 9,210,288 = 9,210,288 : x
  2. Step 2: Convert to fraction form
    4,207,116/9,210,288 = 9,210,288/x
  3. Step 3: Cross multiply
    4,207,116x = 9,210,288 × 9,210,288
  4. Step 4: Simplify right side
    4,207,116x = 84,829,405,042,944
  5. Step 5: Solve for x
    x = 84,829,405,042,944/4,207,116
  6. Step 6: Final answer
    x = 20,163,314.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.