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Finding the Third Proportional to 31,501,289.25 and 49,416,223.50

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Solution

The third proportional to 31,501,289.25 and 49,416,223.50 is: 77,519,466.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,501,289.25 : 49,416,223.50 = 49,416,223.50 : x
  2. Step 2: Convert to fraction form
    31,501,289.25/49,416,223.50 = 49,416,223.50/x
  3. Step 3: Cross multiply
    31,501,289.25x = 49,416,223.50 × 49,416,223.50
  4. Step 4: Simplify right side
    31,501,289.25x = 2,441,963,145,001,952
  5. Step 5: Solve for x
    x = 2,441,963,145,001,952/31,501,289.25
  6. Step 6: Final answer
    x = 77,519,466.76

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.