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Finding the Third Proportional to 38,254,313.81 and 83,003,470.13

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Solution

The third proportional to 38,254,313.81 and 83,003,470.13 is: 180,099,323.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,254,313.81 : 83,003,470.13 = 83,003,470.13 : x
  2. Step 2: Convert to fraction form
    38,254,313.81/83,003,470.13 = 83,003,470.13/x
  3. Step 3: Cross multiply
    38,254,313.81x = 83,003,470.13 × 83,003,470.13
  4. Step 4: Simplify right side
    38,254,313.81x = 6,889,576,052,791,768
  5. Step 5: Solve for x
    x = 6,889,576,052,791,768/38,254,313.81
  6. Step 6: Final answer
    x = 180,099,323.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.