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Finding the Third Proportional to 14,357,261.81 and 31,504,132.83

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Solution

The third proportional to 14,357,261.81 and 31,504,132.83 is: 69,129,503.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,357,261.81 : 31,504,132.83 = 31,504,132.83 : x
  2. Step 2: Convert to fraction form
    14,357,261.81/31,504,132.83 = 31,504,132.83/x
  3. Step 3: Cross multiply
    14,357,261.81x = 31,504,132.83 × 31,504,132.83
  4. Step 4: Simplify right side
    14,357,261.81x = 992,510,385,252,143.25
  5. Step 5: Solve for x
    x = 992,510,385,252,143.25/14,357,261.81
  6. Step 6: Final answer
    x = 69,129,503.82

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.