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Finding the Third Proportional to 14,287,296.75 and 31,349,281.50

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Solution

The third proportional to 14,287,296.75 and 31,349,281.50 is: 68,786,801.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,287,296.75 : 31,349,281.50 = 31,349,281.50 : x
  2. Step 2: Convert to fraction form
    14,287,296.75/31,349,281.50 = 31,349,281.50/x
  3. Step 3: Cross multiply
    14,287,296.75x = 31,349,281.50 × 31,349,281.50
  4. Step 4: Simplify right side
    14,287,296.75x = 982,777,450,566,242.25
  5. Step 5: Solve for x
    x = 982,777,450,566,242.25/14,287,296.75
  6. Step 6: Final answer
    x = 68,786,801.85

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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.