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Finding the Third Proportional to 9,186,128 and 21,456,124

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Solution

The third proportional to 9,186,128 and 21,456,124 is: 50,115,266.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,186,128 : 21,456,124 = 21,456,124 : x
  2. Step 2: Convert to fraction form
    9,186,128/21,456,124 = 21,456,124/x
  3. Step 3: Cross multiply
    9,186,128x = 21,456,124 × 21,456,124
  4. Step 4: Simplify right side
    9,186,128x = 460,365,257,103,376
  5. Step 5: Solve for x
    x = 460,365,257,103,376/9,186,128
  6. Step 6: Final answer
    x = 50,115,266.97

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.