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Finding the Third Proportional to 37,727,848.50 and 80,834,077.50

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Solution

The third proportional to 37,727,848.50 and 80,834,077.50 is: 173,191,643.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,727,848.50 : 80,834,077.50 = 80,834,077.50 : x
  2. Step 2: Convert to fraction form
    37,727,848.50/80,834,077.50 = 80,834,077.50/x
  3. Step 3: Cross multiply
    37,727,848.50x = 80,834,077.50 × 80,834,077.50
  4. Step 4: Simplify right side
    37,727,848.50x = 6,534,148,085,276,006
  5. Step 5: Solve for x
    x = 6,534,148,085,276,006/37,727,848.50
  6. Step 6: Final answer
    x = 173,191,643.44

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.