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Finding the Third Proportional to 9,635,853 and 14,187,451.50

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Solution

The third proportional to 9,635,853 and 14,187,451.50 is: 20,889,046.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,635,853 : 14,187,451.50 = 14,187,451.50 : x
  2. Step 2: Convert to fraction form
    9,635,853/14,187,451.50 = 14,187,451.50/x
  3. Step 3: Cross multiply
    9,635,853x = 14,187,451.50 × 14,187,451.50
  4. Step 4: Simplify right side
    9,635,853x = 201,283,780,064,852.25
  5. Step 5: Solve for x
    x = 201,283,780,064,852.25/9,635,853
  6. Step 6: Final answer
    x = 20,889,046.36

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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.