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Finding the Third Proportional to 9,500,562 and 14,332,060

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Solution

The third proportional to 9,500,562 and 14,332,060 is: 21,620,609.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,500,562 : 14,332,060 = 14,332,060 : x
  2. Step 2: Convert to fraction form
    9,500,562/14,332,060 = 14,332,060/x
  3. Step 3: Cross multiply
    9,500,562x = 14,332,060 × 14,332,060
  4. Step 4: Simplify right side
    9,500,562x = 205,407,943,843,600
  5. Step 5: Solve for x
    x = 205,407,943,843,600/9,500,562
  6. Step 6: Final answer
    x = 21,620,609.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.