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Finding the Third Proportional to 31,055,141.81 and 65,322,903.09

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Solution

The third proportional to 31,055,141.81 and 65,322,903.09 is: 137,403,386.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,055,141.81 : 65,322,903.09 = 65,322,903.09 : x
  2. Step 2: Convert to fraction form
    31,055,141.81/65,322,903.09 = 65,322,903.09/x
  3. Step 3: Cross multiply
    31,055,141.81x = 65,322,903.09 × 65,322,903.09
  4. Step 4: Simplify right side
    31,055,141.81x = 4,267,081,668,595,453.50
  5. Step 5: Solve for x
    x = 4,267,081,668,595,453.50/31,055,141.81
  6. Step 6: Final answer
    x = 137,403,386.99

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.