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Finding the Third Proportional to 9,634,008.38 and 14,184,882

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Solution

The third proportional to 9,634,008.38 and 14,184,882 is: 20,885,478.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,634,008.38 : 14,184,882 = 14,184,882 : x
  2. Step 2: Convert to fraction form
    9,634,008.38/14,184,882 = 14,184,882/x
  3. Step 3: Cross multiply
    9,634,008.38x = 14,184,882 × 14,184,882
  4. Step 4: Simplify right side
    9,634,008.38x = 201,210,877,353,924
  5. Step 5: Solve for x
    x = 201,210,877,353,924/9,634,008.38
  6. Step 6: Final answer
    x = 20,885,478.77

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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.