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Finding the Third Proportional to 27,848,947.50 and 42,573,863.25

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Solution

The third proportional to 27,848,947.50 and 42,573,863.25 is: 65,084,464.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,848,947.50 : 42,573,863.25 = 42,573,863.25 : x
  2. Step 2: Convert to fraction form
    27,848,947.50/42,573,863.25 = 42,573,863.25/x
  3. Step 3: Cross multiply
    27,848,947.50x = 42,573,863.25 × 42,573,863.25
  4. Step 4: Simplify right side
    27,848,947.50x = 1,812,533,832,029,700.50
  5. Step 5: Solve for x
    x = 1,812,533,832,029,700.50/27,848,947.50
  6. Step 6: Final answer
    x = 65,084,464.40

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.