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Finding the Third Proportional to 7,843,726.76 and 16,822,096.45

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Solution

The third proportional to 7,843,726.76 and 16,822,096.45 is: 36,077,611.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,843,726.76 : 16,822,096.45 = 16,822,096.45 : x
  2. Step 2: Convert to fraction form
    7,843,726.76/16,822,096.45 = 16,822,096.45/x
  3. Step 3: Cross multiply
    7,843,726.76x = 16,822,096.45 × 16,822,096.45
  4. Step 4: Simplify right side
    7,843,726.76x = 282,982,929,078,240.69
  5. Step 5: Solve for x
    x = 282,982,929,078,240.69/7,843,726.76
  6. Step 6: Final answer
    x = 36,077,611.81

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.