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Finding the Third Proportional to 25,294,200 and 54,424,732.50

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Solution

The third proportional to 25,294,200 and 54,424,732.50 is: 117,103,980.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,294,200 : 54,424,732.50 = 54,424,732.50 : x
  2. Step 2: Convert to fraction form
    25,294,200/54,424,732.50 = 54,424,732.50/x
  3. Step 3: Cross multiply
    25,294,200x = 54,424,732.50 × 54,424,732.50
  4. Step 4: Simplify right side
    25,294,200x = 2,962,051,507,696,556
  5. Step 5: Solve for x
    x = 2,962,051,507,696,556/25,294,200
  6. Step 6: Final answer
    x = 117,103,980.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.