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Finding the Third Proportional to 7,890,783.75 and 16,980,043.50

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Solution

The third proportional to 7,890,783.75 and 16,980,043.50 is: 36,539,067.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,890,783.75 : 16,980,043.50 = 16,980,043.50 : x
  2. Step 2: Convert to fraction form
    7,890,783.75/16,980,043.50 = 16,980,043.50/x
  3. Step 3: Cross multiply
    7,890,783.75x = 16,980,043.50 × 16,980,043.50
  4. Step 4: Simplify right side
    7,890,783.75x = 288,321,877,261,892.25
  5. Step 5: Solve for x
    x = 288,321,877,261,892.25/7,890,783.75
  6. Step 6: Final answer
    x = 36,539,067.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.