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Finding the Third Proportional to 11,497,098 and 18,035,559

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Solution

The third proportional to 11,497,098 and 18,035,559 is: 28,292,477.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,497,098 : 18,035,559 = 18,035,559 : x
  2. Step 2: Convert to fraction form
    11,497,098/18,035,559 = 18,035,559/x
  3. Step 3: Cross multiply
    11,497,098x = 18,035,559 × 18,035,559
  4. Step 4: Simplify right side
    11,497,098x = 325,281,388,442,481
  5. Step 5: Solve for x
    x = 325,281,388,442,481/11,497,098
  6. Step 6: Final answer
    x = 28,292,477.67

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.