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Finding the Third Proportional to 9,916,122 and 15,322,590

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Solution

The third proportional to 9,916,122 and 15,322,590 is: 23,676,772.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,916,122 : 15,322,590 = 15,322,590 : x
  2. Step 2: Convert to fraction form
    9,916,122/15,322,590 = 15,322,590/x
  3. Step 3: Cross multiply
    9,916,122x = 15,322,590 × 15,322,590
  4. Step 4: Simplify right side
    9,916,122x = 234,781,764,308,100
  5. Step 5: Solve for x
    x = 234,781,764,308,100/9,916,122
  6. Step 6: Final answer
    x = 23,676,772.46

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.