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Finding the Third Proportional to 9,974,786 and 21,816,132

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Solution

The third proportional to 9,974,786 and 21,816,132 is: 47,714,669.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,974,786 : 21,816,132 = 21,816,132 : x
  2. Step 2: Convert to fraction form
    9,974,786/21,816,132 = 21,816,132/x
  3. Step 3: Cross multiply
    9,974,786x = 21,816,132 × 21,816,132
  4. Step 4: Simplify right side
    9,974,786x = 475,943,615,441,424
  5. Step 5: Solve for x
    x = 475,943,615,441,424/9,974,786
  6. Step 6: Final answer
    x = 47,714,669.31

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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.