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Finding the Third Proportional to 4,584,786 and 9,846,036

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Solution

The third proportional to 4,584,786 and 9,846,036 is: 21,144,809.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,584,786 : 9,846,036 = 9,846,036 : x
  2. Step 2: Convert to fraction form
    4,584,786/9,846,036 = 9,846,036/x
  3. Step 3: Cross multiply
    4,584,786x = 9,846,036 × 9,846,036
  4. Step 4: Simplify right side
    4,584,786x = 96,944,424,913,296
  5. Step 5: Solve for x
    x = 96,944,424,913,296/4,584,786
  6. Step 6: Final answer
    x = 21,144,809.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.