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Finding the Third Proportional to 38,901,384 and 83,835,972

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Solution

The third proportional to 38,901,384 and 83,835,972 is: 180,674,039.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,901,384 : 83,835,972 = 83,835,972 : x
  2. Step 2: Convert to fraction form
    38,901,384/83,835,972 = 83,835,972/x
  3. Step 3: Cross multiply
    38,901,384x = 83,835,972 × 83,835,972
  4. Step 4: Simplify right side
    38,901,384x = 7,028,470,201,184,784
  5. Step 5: Solve for x
    x = 7,028,470,201,184,784/38,901,384
  6. Step 6: Final answer
    x = 180,674,039.80

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.