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Finding the Third Proportional to 4,727,646 and 6,923,778

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Solution

The third proportional to 4,727,646 and 6,923,778 is: 10,140,078.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,727,646 : 6,923,778 = 6,923,778 : x
  2. Step 2: Convert to fraction form
    4,727,646/6,923,778 = 6,923,778/x
  3. Step 3: Cross multiply
    4,727,646x = 6,923,778 × 6,923,778
  4. Step 4: Simplify right side
    4,727,646x = 47,938,701,793,284
  5. Step 5: Solve for x
    x = 47,938,701,793,284/4,727,646
  6. Step 6: Final answer
    x = 10,140,078.55

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.