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Finding the Third Proportional to 8,972,050 and 19,738,412

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Solution

The third proportional to 8,972,050 and 19,738,412 is: 43,424,290.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,972,050 : 19,738,412 = 19,738,412 : x
  2. Step 2: Convert to fraction form
    8,972,050/19,738,412 = 19,738,412/x
  3. Step 3: Cross multiply
    8,972,050x = 19,738,412 × 19,738,412
  4. Step 4: Simplify right side
    8,972,050x = 389,604,908,281,744
  5. Step 5: Solve for x
    x = 389,604,908,281,744/8,972,050
  6. Step 6: Final answer
    x = 43,424,290.80

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.