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Finding the Third Proportional to 66,084,581.53 and 137,599,970.06

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Solution

The third proportional to 66,084,581.53 and 137,599,970.06 is: 286,507,855.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,084,581.53 : 137,599,970.06 = 137,599,970.06 : x
  2. Step 2: Convert to fraction form
    66,084,581.53/137,599,970.06 = 137,599,970.06/x
  3. Step 3: Cross multiply
    66,084,581.53x = 137,599,970.06 × 137,599,970.06
  4. Step 4: Simplify right side
    66,084,581.53x = 18,933,751,761,200,896
  5. Step 5: Solve for x
    x = 18,933,751,761,200,896/66,084,581.53
  6. Step 6: Final answer
    x = 286,507,855.88

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.