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Finding the Third Proportional to 10,156,605.19 and 21,969,817.31

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Solution

The third proportional to 10,156,605.19 and 21,969,817.31 is: 47,523,051.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,156,605.19 : 21,969,817.31 = 21,969,817.31 : x
  2. Step 2: Convert to fraction form
    10,156,605.19/21,969,817.31 = 21,969,817.31/x
  3. Step 3: Cross multiply
    10,156,605.19x = 21,969,817.31 × 21,969,817.31
  4. Step 4: Simplify right side
    10,156,605.19x = 482,672,872,744,624.75
  5. Step 5: Solve for x
    x = 482,672,872,744,624.75/10,156,605.19
  6. Step 6: Final answer
    x = 47,523,051.63

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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.