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Finding the Third Proportional to 7,684,564 and 16,458,414

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Solution

The third proportional to 7,684,564 and 16,458,414 is: 35,249,806.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,684,564 : 16,458,414 = 16,458,414 : x
  2. Step 2: Convert to fraction form
    7,684,564/16,458,414 = 16,458,414/x
  3. Step 3: Cross multiply
    7,684,564x = 16,458,414 × 16,458,414
  4. Step 4: Simplify right side
    7,684,564x = 270,879,391,395,396
  5. Step 5: Solve for x
    x = 270,879,391,395,396/7,684,564
  6. Step 6: Final answer
    x = 35,249,806.16

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.