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Finding the Third Proportional to 9,634,578 and 14,090,157

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Solution

The third proportional to 9,634,578 and 14,090,157 is: 20,606,250.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,634,578 : 14,090,157 = 14,090,157 : x
  2. Step 2: Convert to fraction form
    9,634,578/14,090,157 = 14,090,157/x
  3. Step 3: Cross multiply
    9,634,578x = 14,090,157 × 14,090,157
  4. Step 4: Simplify right side
    9,634,578x = 198,532,524,284,649
  5. Step 5: Solve for x
    x = 198,532,524,284,649/9,634,578
  6. Step 6: Final answer
    x = 20,606,250.14

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.