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Finding the Third Proportional to 4,195,095 and 9,137,475

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Solution

The third proportional to 4,195,095 and 9,137,475 is: 19,902,636.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,195,095 : 9,137,475 = 9,137,475 : x
  2. Step 2: Convert to fraction form
    4,195,095/9,137,475 = 9,137,475/x
  3. Step 3: Cross multiply
    4,195,095x = 9,137,475 × 9,137,475
  4. Step 4: Simplify right side
    4,195,095x = 83,493,449,375,625
  5. Step 5: Solve for x
    x = 83,493,449,375,625/4,195,095
  6. Step 6: Final answer
    x = 19,902,636.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.