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Finding the Third Proportional to 9,635,091.75 and 14,186,502

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Solution

The third proportional to 9,635,091.75 and 14,186,502 is: 20,887,900.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,635,091.75 : 14,186,502 = 14,186,502 : x
  2. Step 2: Convert to fraction form
    9,635,091.75/14,186,502 = 14,186,502/x
  3. Step 3: Cross multiply
    9,635,091.75x = 14,186,502 × 14,186,502
  4. Step 4: Simplify right side
    9,635,091.75x = 201,256,838,996,004
  5. Step 5: Solve for x
    x = 201,256,838,996,004/9,635,091.75
  6. Step 6: Final answer
    x = 20,887,900.63

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.