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Finding the Third Proportional to 5,194,063.50 and 7,762,024.75

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Solution

The third proportional to 5,194,063.50 and 7,762,024.75 is: 11,599,594.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,194,063.50 : 7,762,024.75 = 7,762,024.75 : x
  2. Step 2: Convert to fraction form
    5,194,063.50/7,762,024.75 = 7,762,024.75/x
  3. Step 3: Cross multiply
    5,194,063.50x = 7,762,024.75 × 7,762,024.75
  4. Step 4: Simplify right side
    5,194,063.50x = 60,249,028,219,612.56
  5. Step 5: Solve for x
    x = 60,249,028,219,612.56/5,194,063.50
  6. Step 6: Final answer
    x = 11,599,594.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.