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Finding the Third Proportional to 47,464,199 and 71,322,678.50

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Solution

The third proportional to 47,464,199 and 71,322,678.50 is: 107,173,924.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,464,199 : 71,322,678.50 = 71,322,678.50 : x
  2. Step 2: Convert to fraction form
    47,464,199/71,322,678.50 = 71,322,678.50/x
  3. Step 3: Cross multiply
    47,464,199x = 71,322,678.50 × 71,322,678.50
  4. Step 4: Simplify right side
    47,464,199x = 5,086,924,468,414,362
  5. Step 5: Solve for x
    x = 5,086,924,468,414,362/47,464,199
  6. Step 6: Final answer
    x = 107,173,924.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.