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Finding the Third Proportional to 4,707,744 and 9,980,455

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Solution

The third proportional to 4,707,744 and 9,980,455 is: 21,158,644.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,707,744 : 9,980,455 = 9,980,455 : x
  2. Step 2: Convert to fraction form
    4,707,744/9,980,455 = 9,980,455/x
  3. Step 3: Cross multiply
    4,707,744x = 9,980,455 × 9,980,455
  4. Step 4: Simplify right side
    4,707,744x = 99,609,482,007,025
  5. Step 5: Solve for x
    x = 99,609,482,007,025/4,707,744
  6. Step 6: Final answer
    x = 21,158,644.57

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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.