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Finding the Third Proportional to 4,707,207 and 10,057,032

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Solution

The third proportional to 4,707,207 and 10,057,032 is: 21,487,028.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,707,207 : 10,057,032 = 10,057,032 : x
  2. Step 2: Convert to fraction form
    4,707,207/10,057,032 = 10,057,032/x
  3. Step 3: Cross multiply
    4,707,207x = 10,057,032 × 10,057,032
  4. Step 4: Simplify right side
    4,707,207x = 101,143,892,649,024
  5. Step 5: Solve for x
    x = 101,143,892,649,024/4,707,207
  6. Step 6: Final answer
    x = 21,487,028.86

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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.