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Finding the Third Proportional to 9,186,124 and 21,456,114

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Solution

The third proportional to 9,186,124 and 21,456,114 is: 50,115,242.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,186,124 : 21,456,114 = 21,456,114 : x
  2. Step 2: Convert to fraction form
    9,186,124/21,456,114 = 21,456,114/x
  3. Step 3: Cross multiply
    9,186,124x = 21,456,114 × 21,456,114
  4. Step 4: Simplify right side
    9,186,124x = 460,364,827,980,996
  5. Step 5: Solve for x
    x = 460,364,827,980,996/9,186,124
  6. Step 6: Final answer
    x = 50,115,242.07

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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.