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Finding the Third Proportional to 14,355,232.50 and 31,500,531

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Solution

The third proportional to 14,355,232.50 and 31,500,531 is: 69,123,467.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,355,232.50 : 31,500,531 = 31,500,531 : x
  2. Step 2: Convert to fraction form
    14,355,232.50/31,500,531 = 31,500,531/x
  3. Step 3: Cross multiply
    14,355,232.50x = 31,500,531 × 31,500,531
  4. Step 4: Simplify right side
    14,355,232.50x = 992,283,453,281,961
  5. Step 5: Solve for x
    x = 992,283,453,281,961/14,355,232.50
  6. Step 6: Final answer
    x = 69,123,467.93

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Why These Related Problems?

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