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Finding the Third Proportional to 9,223,896 and 21,353,772

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Solution

The third proportional to 9,223,896 and 21,353,772 is: 49,435,030.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,223,896 : 21,353,772 = 21,353,772 : x
  2. Step 2: Convert to fraction form
    9,223,896/21,353,772 = 21,353,772/x
  3. Step 3: Cross multiply
    9,223,896x = 21,353,772 × 21,353,772
  4. Step 4: Simplify right side
    9,223,896x = 455,983,578,627,984
  5. Step 5: Solve for x
    x = 455,983,578,627,984/9,223,896
  6. Step 6: Final answer
    x = 49,435,030.34

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.