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Finding the Third Proportional to 14,355,285.75 and 31,500,614.25

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Solution

The third proportional to 14,355,285.75 and 31,500,614.25 is: 69,123,576.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,355,285.75 : 31,500,614.25 = 31,500,614.25 : x
  2. Step 2: Convert to fraction form
    14,355,285.75/31,500,614.25 = 31,500,614.25/x
  3. Step 3: Cross multiply
    14,355,285.75x = 31,500,614.25 × 31,500,614.25
  4. Step 4: Simplify right side
    14,355,285.75x = 992,288,698,127,303
  5. Step 5: Solve for x
    x = 992,288,698,127,303/14,355,285.75
  6. Step 6: Final answer
    x = 69,123,576.88

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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.