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Finding the Third Proportional to 9,241,984 and 20,609,008

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Solution

The third proportional to 9,241,984 and 20,609,008 is: 45,956,713.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,241,984 : 20,609,008 = 20,609,008 : x
  2. Step 2: Convert to fraction form
    9,241,984/20,609,008 = 20,609,008/x
  3. Step 3: Cross multiply
    9,241,984x = 20,609,008 × 20,609,008
  4. Step 4: Simplify right side
    9,241,984x = 424,731,210,744,064
  5. Step 5: Solve for x
    x = 424,731,210,744,064/9,241,984
  6. Step 6: Final answer
    x = 45,956,713.49

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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.