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Finding the Third Proportional to 6,347,274 and 9,669,633

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Solution

The third proportional to 6,347,274 and 9,669,633 is: 14,731,017.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,347,274 : 9,669,633 = 9,669,633 : x
  2. Step 2: Convert to fraction form
    6,347,274/9,669,633 = 9,669,633/x
  3. Step 3: Cross multiply
    6,347,274x = 9,669,633 × 9,669,633
  4. Step 4: Simplify right side
    6,347,274x = 93,501,802,354,689
  5. Step 5: Solve for x
    x = 93,501,802,354,689/6,347,274
  6. Step 6: Final answer
    x = 14,731,017.18

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.