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Finding the Third Proportional to 27,848,953.50 and 42,574,054.50

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Solution

The third proportional to 27,848,953.50 and 42,574,054.50 is: 65,085,035.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,848,953.50 : 42,574,054.50 = 42,574,054.50 : x
  2. Step 2: Convert to fraction form
    27,848,953.50/42,574,054.50 = 42,574,054.50/x
  3. Step 3: Cross multiply
    27,848,953.50x = 42,574,054.50 × 42,574,054.50
  4. Step 4: Simplify right side
    27,848,953.50x = 1,812,550,116,568,970.25
  5. Step 5: Solve for x
    x = 1,812,550,116,568,970.25/27,848,953.50
  6. Step 6: Final answer
    x = 65,085,035.12

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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.