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Finding the Third Proportional to 9,634,580 and 14,090,159

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Solution

The third proportional to 9,634,580 and 14,090,159 is: 20,606,251.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,634,580 : 14,090,159 = 14,090,159 : x
  2. Step 2: Convert to fraction form
    9,634,580/14,090,159 = 14,090,159/x
  3. Step 3: Cross multiply
    9,634,580x = 14,090,159 × 14,090,159
  4. Step 4: Simplify right side
    9,634,580x = 198,532,580,645,281
  5. Step 5: Solve for x
    x = 198,532,580,645,281/9,634,580
  6. Step 6: Final answer
    x = 20,606,251.71

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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.