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Finding the Third Proportional to 4,577,656.78 and 6,400,245.38

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Solution

The third proportional to 4,577,656.78 and 6,400,245.38 is: 8,948,495.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,577,656.78 : 6,400,245.38 = 6,400,245.38 : x
  2. Step 2: Convert to fraction form
    4,577,656.78/6,400,245.38 = 6,400,245.38/x
  3. Step 3: Cross multiply
    4,577,656.78x = 6,400,245.38 × 6,400,245.38
  4. Step 4: Simplify right side
    4,577,656.78x = 40,963,140,860,208.89
  5. Step 5: Solve for x
    x = 40,963,140,860,208.89/4,577,656.78
  6. Step 6: Final answer
    x = 8,948,495.45

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.