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Finding the Third Proportional to 47,781,824.50 and 73,785,061.50

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Solution

The third proportional to 47,781,824.50 and 73,785,061.50 is: 113,939,460.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,781,824.50 : 73,785,061.50 = 73,785,061.50 : x
  2. Step 2: Convert to fraction form
    47,781,824.50/73,785,061.50 = 73,785,061.50/x
  3. Step 3: Cross multiply
    47,781,824.50x = 73,785,061.50 × 73,785,061.50
  4. Step 4: Simplify right side
    47,781,824.50x = 5,444,235,300,558,782
  5. Step 5: Solve for x
    x = 5,444,235,300,558,782/47,781,824.50
  6. Step 6: Final answer
    x = 113,939,460.40

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.