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Finding the Third Proportional to 6,727,748 and 10,089,549

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Solution

The third proportional to 6,727,748 and 10,089,549 is: 15,131,214.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,727,748 : 10,089,549 = 10,089,549 : x
  2. Step 2: Convert to fraction form
    6,727,748/10,089,549 = 10,089,549/x
  3. Step 3: Cross multiply
    6,727,748x = 10,089,549 × 10,089,549
  4. Step 4: Simplify right side
    6,727,748x = 101,798,999,023,401
  5. Step 5: Solve for x
    x = 101,798,999,023,401/6,727,748
  6. Step 6: Final answer
    x = 15,131,214.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.