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Finding the Third Proportional to 7,466,420 and 16,284,406

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Solution

The third proportional to 7,466,420 and 16,284,406 is: 35,516,603.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,466,420 : 16,284,406 = 16,284,406 : x
  2. Step 2: Convert to fraction form
    7,466,420/16,284,406 = 16,284,406/x
  3. Step 3: Cross multiply
    7,466,420x = 16,284,406 × 16,284,406
  4. Step 4: Simplify right side
    7,466,420x = 265,181,878,772,836
  5. Step 5: Solve for x
    x = 265,181,878,772,836/7,466,420
  6. Step 6: Final answer
    x = 35,516,603.51

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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.