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Finding the Third Proportional to 8,359,323 and 11,771,761.50

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Solution

The third proportional to 8,359,323 and 11,771,761.50 is: 16,577,223.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,359,323 : 11,771,761.50 = 11,771,761.50 : x
  2. Step 2: Convert to fraction form
    8,359,323/11,771,761.50 = 11,771,761.50/x
  3. Step 3: Cross multiply
    8,359,323x = 11,771,761.50 × 11,771,761.50
  4. Step 4: Simplify right side
    8,359,323x = 138,574,368,812,882.25
  5. Step 5: Solve for x
    x = 138,574,368,812,882.25/8,359,323
  6. Step 6: Final answer
    x = 16,577,223.87

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.