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Finding the Third Proportional to 7,644,807 and 16,800,284

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Solution

The third proportional to 7,644,807 and 16,800,284 is: 36,920,427.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,644,807 : 16,800,284 = 16,800,284 : x
  2. Step 2: Convert to fraction form
    7,644,807/16,800,284 = 16,800,284/x
  3. Step 3: Cross multiply
    7,644,807x = 16,800,284 × 16,800,284
  4. Step 4: Simplify right side
    7,644,807x = 282,249,542,480,656
  5. Step 5: Solve for x
    x = 282,249,542,480,656/7,644,807
  6. Step 6: Final answer
    x = 36,920,427.49

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.