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Finding the Third Proportional to 22,809,781.50 and 47,236,393.50

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Solution

The third proportional to 22,809,781.50 and 47,236,393.50 is: 97,821,054.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,809,781.50 : 47,236,393.50 = 47,236,393.50 : x
  2. Step 2: Convert to fraction form
    22,809,781.50/47,236,393.50 = 47,236,393.50/x
  3. Step 3: Cross multiply
    22,809,781.50x = 47,236,393.50 × 47,236,393.50
  4. Step 4: Simplify right side
    22,809,781.50x = 2,231,276,870,886,842.25
  5. Step 5: Solve for x
    x = 2,231,276,870,886,842.25/22,809,781.50
  6. Step 6: Final answer
    x = 97,821,054.13

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.