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Finding the Third Proportional to 4,707,216 and 10,057,048

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Solution

The third proportional to 4,707,216 and 10,057,048 is: 21,487,056.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,707,216 : 10,057,048 = 10,057,048 : x
  2. Step 2: Convert to fraction form
    4,707,216/10,057,048 = 10,057,048/x
  3. Step 3: Cross multiply
    4,707,216x = 10,057,048 × 10,057,048
  4. Step 4: Simplify right side
    4,707,216x = 101,144,214,474,304
  5. Step 5: Solve for x
    x = 101,144,214,474,304/4,707,216
  6. Step 6: Final answer
    x = 21,487,056.14

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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.