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Finding the Third Proportional to 53,242,631.44 and 81,787,223.81

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Solution

The third proportional to 53,242,631.44 and 81,787,223.81 is: 125,635,224.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,242,631.44 : 81,787,223.81 = 81,787,223.81 : x
  2. Step 2: Convert to fraction form
    53,242,631.44/81,787,223.81 = 81,787,223.81/x
  3. Step 3: Cross multiply
    53,242,631.44x = 81,787,223.81 × 81,787,223.81
  4. Step 4: Simplify right side
    53,242,631.44x = 6,689,149,978,955,967
  5. Step 5: Solve for x
    x = 6,689,149,978,955,967/53,242,631.44
  6. Step 6: Final answer
    x = 125,635,224.98

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Why These Related Problems?

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