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Finding the Third Proportional to 11,753,445.75 and 24,696,619.50

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Solution

The third proportional to 11,753,445.75 and 24,696,619.50 is: 51,893,123.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,753,445.75 : 24,696,619.50 = 24,696,619.50 : x
  2. Step 2: Convert to fraction form
    11,753,445.75/24,696,619.50 = 24,696,619.50/x
  3. Step 3: Cross multiply
    11,753,445.75x = 24,696,619.50 × 24,696,619.50
  4. Step 4: Simplify right side
    11,753,445.75x = 609,923,014,727,780.25
  5. Step 5: Solve for x
    x = 609,923,014,727,780.25/11,753,445.75
  6. Step 6: Final answer
    x = 51,893,123.74

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.