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Finding the Third Proportional to 10,236,430.69 and 22,280,523.19

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Solution

The third proportional to 10,236,430.69 and 22,280,523.19 is: 48,495,586.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,236,430.69 : 22,280,523.19 = 22,280,523.19 : x
  2. Step 2: Convert to fraction form
    10,236,430.69/22,280,523.19 = 22,280,523.19/x
  3. Step 3: Cross multiply
    10,236,430.69x = 22,280,523.19 × 22,280,523.19
  4. Step 4: Simplify right side
    10,236,430.69x = 496,421,713,508,725.19
  5. Step 5: Solve for x
    x = 496,421,713,508,725.19/10,236,430.69
  6. Step 6: Final answer
    x = 48,495,586.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.