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Finding the Third Proportional to 9,634,010 and 14,184,885

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Solution

The third proportional to 9,634,010 and 14,184,885 is: 20,885,484.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,634,010 : 14,184,885 = 14,184,885 : x
  2. Step 2: Convert to fraction form
    9,634,010/14,184,885 = 14,184,885/x
  3. Step 3: Cross multiply
    9,634,010x = 14,184,885 × 14,184,885
  4. Step 4: Simplify right side
    9,634,010x = 201,210,962,463,225
  5. Step 5: Solve for x
    x = 201,210,962,463,225/9,634,010
  6. Step 6: Final answer
    x = 20,885,484.08

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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.