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Finding the Third Proportional to 6,633,072 and 9,947,658

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Solution

The third proportional to 6,633,072 and 9,947,658 is: 14,918,562.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,633,072 : 9,947,658 = 9,947,658 : x
  2. Step 2: Convert to fraction form
    6,633,072/9,947,658 = 9,947,658/x
  3. Step 3: Cross multiply
    6,633,072x = 9,947,658 × 9,947,658
  4. Step 4: Simplify right side
    6,633,072x = 98,955,899,684,964
  5. Step 5: Solve for x
    x = 98,955,899,684,964/6,633,072
  6. Step 6: Final answer
    x = 14,918,562.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.