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Finding the Third Proportional to 9,771,632 and 14,365,524

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Solution

The third proportional to 9,771,632 and 14,365,524 is: 21,119,121.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,771,632 : 14,365,524 = 14,365,524 : x
  2. Step 2: Convert to fraction form
    9,771,632/14,365,524 = 14,365,524/x
  3. Step 3: Cross multiply
    9,771,632x = 14,365,524 × 14,365,524
  4. Step 4: Simplify right side
    9,771,632x = 206,368,279,794,576
  5. Step 5: Solve for x
    x = 206,368,279,794,576/9,771,632
  6. Step 6: Final answer
    x = 21,119,121.12

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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.