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Finding the Third Proportional to 9,242,024 and 20,609,076

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Solution

The third proportional to 9,242,024 and 20,609,076 is: 45,956,817.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,242,024 : 20,609,076 = 20,609,076 : x
  2. Step 2: Convert to fraction form
    9,242,024/20,609,076 = 20,609,076/x
  3. Step 3: Cross multiply
    9,242,024x = 20,609,076 × 20,609,076
  4. Step 4: Simplify right side
    9,242,024x = 424,734,013,573,776
  5. Step 5: Solve for x
    x = 424,734,013,573,776/9,242,024
  6. Step 6: Final answer
    x = 45,956,817.85

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.