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Finding the Third Proportional to 6,115,851 and 7,344,823.50

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Solution

The third proportional to 6,115,851 and 7,344,823.50 is: 8,820,756.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,115,851 : 7,344,823.50 = 7,344,823.50 : x
  2. Step 2: Convert to fraction form
    6,115,851/7,344,823.50 = 7,344,823.50/x
  3. Step 3: Cross multiply
    6,115,851x = 7,344,823.50 × 7,344,823.50
  4. Step 4: Simplify right side
    6,115,851x = 53,946,432,246,152.25
  5. Step 5: Solve for x
    x = 53,946,432,246,152.25/6,115,851
  6. Step 6: Final answer
    x = 8,820,756.46

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.