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Finding the Third Proportional to 34,494,178.50 and 53,020,023.75

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Solution

The third proportional to 34,494,178.50 and 53,020,023.75 is: 81,495,575.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,494,178.50 : 53,020,023.75 = 53,020,023.75 : x
  2. Step 2: Convert to fraction form
    34,494,178.50/53,020,023.75 = 53,020,023.75/x
  3. Step 3: Cross multiply
    34,494,178.50x = 53,020,023.75 × 53,020,023.75
  4. Step 4: Simplify right side
    34,494,178.50x = 2,811,122,918,450,564
  5. Step 5: Solve for x
    x = 2,811,122,918,450,564/34,494,178.50
  6. Step 6: Final answer
    x = 81,495,575.22

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.