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Finding the Third Proportional to 14,588,533 and 33,769,856.50

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Solution

The third proportional to 14,588,533 and 33,769,856.50 is: 78,171,205.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,588,533 : 33,769,856.50 = 33,769,856.50 : x
  2. Step 2: Convert to fraction form
    14,588,533/33,769,856.50 = 33,769,856.50/x
  3. Step 3: Cross multiply
    14,588,533x = 33,769,856.50 × 33,769,856.50
  4. Step 4: Simplify right side
    14,588,533x = 1,140,403,208,030,592.25
  5. Step 5: Solve for x
    x = 1,140,403,208,030,592.25/14,588,533
  6. Step 6: Final answer
    x = 78,171,205.29

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.