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Finding the Third Proportional to 7,659,984 and 11,342,076

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Solution

The third proportional to 7,659,984 and 11,342,076 is: 16,794,119.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,659,984 : 11,342,076 = 11,342,076 : x
  2. Step 2: Convert to fraction form
    7,659,984/11,342,076 = 11,342,076/x
  3. Step 3: Cross multiply
    7,659,984x = 11,342,076 × 11,342,076
  4. Step 4: Simplify right side
    7,659,984x = 128,642,687,989,776
  5. Step 5: Solve for x
    x = 128,642,687,989,776/7,659,984
  6. Step 6: Final answer
    x = 16,794,119.67

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.