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Finding the Third Proportional to 5,298,098 and 11,443,170

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Solution

The third proportional to 5,298,098 and 11,443,170 is: 24,715,688.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,298,098 : 11,443,170 = 11,443,170 : x
  2. Step 2: Convert to fraction form
    5,298,098/11,443,170 = 11,443,170/x
  3. Step 3: Cross multiply
    5,298,098x = 11,443,170 × 11,443,170
  4. Step 4: Simplify right side
    5,298,098x = 130,946,139,648,900
  5. Step 5: Solve for x
    x = 130,946,139,648,900/5,298,098
  6. Step 6: Final answer
    x = 24,715,688.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.