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Finding the Third Proportional to 9,952,071.75 and 15,019,408.13

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Solution

The third proportional to 9,952,071.75 and 15,019,408.13 is: 22,666,900.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,952,071.75 : 15,019,408.13 = 15,019,408.13 : x
  2. Step 2: Convert to fraction form
    9,952,071.75/15,019,408.13 = 15,019,408.13/x
  3. Step 3: Cross multiply
    9,952,071.75x = 15,019,408.13 × 15,019,408.13
  4. Step 4: Simplify right side
    9,952,071.75x = 225,582,620,425,316
  5. Step 5: Solve for x
    x = 225,582,620,425,316/9,952,071.75
  6. Step 6: Final answer
    x = 22,666,900.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.