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Finding the Third Proportional to 9,972,996 and 21,837,684

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Solution

The third proportional to 9,972,996 and 21,837,684 is: 47,817,570.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,972,996 : 21,837,684 = 21,837,684 : x
  2. Step 2: Convert to fraction form
    9,972,996/21,837,684 = 21,837,684/x
  3. Step 3: Cross multiply
    9,972,996x = 21,837,684 × 21,837,684
  4. Step 4: Simplify right side
    9,972,996x = 476,884,442,483,856
  5. Step 5: Solve for x
    x = 476,884,442,483,856/9,972,996
  6. Step 6: Final answer
    x = 47,817,570.82

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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.