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Finding the Third Proportional to 9,635,098.50 and 14,186,475

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Solution

The third proportional to 9,635,098.50 and 14,186,475 is: 20,887,806.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,635,098.50 : 14,186,475 = 14,186,475 : x
  2. Step 2: Convert to fraction form
    9,635,098.50/14,186,475 = 14,186,475/x
  3. Step 3: Cross multiply
    9,635,098.50x = 14,186,475 × 14,186,475
  4. Step 4: Simplify right side
    9,635,098.50x = 201,256,072,925,625
  5. Step 5: Solve for x
    x = 201,256,072,925,625/9,635,098.50
  6. Step 6: Final answer
    x = 20,887,806.48

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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.