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Finding the Third Proportional to 7,329,284 and 15,794,569

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Solution

The third proportional to 7,329,284 and 15,794,569 is: 34,037,214.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,329,284 : 15,794,569 = 15,794,569 : x
  2. Step 2: Convert to fraction form
    7,329,284/15,794,569 = 15,794,569/x
  3. Step 3: Cross multiply
    7,329,284x = 15,794,569 × 15,794,569
  4. Step 4: Simplify right side
    7,329,284x = 249,468,409,895,761
  5. Step 5: Solve for x
    x = 249,468,409,895,761/7,329,284
  6. Step 6: Final answer
    x = 34,037,214.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.