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Finding the Third Proportional to 6,981,931.69 and 10,838,263.22

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Solution

The third proportional to 6,981,931.69 and 10,838,263.22 is: 16,824,563.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,981,931.69 : 10,838,263.22 = 10,838,263.22 : x
  2. Step 2: Convert to fraction form
    6,981,931.69/10,838,263.22 = 10,838,263.22/x
  3. Step 3: Cross multiply
    6,981,931.69x = 10,838,263.22 × 10,838,263.22
  4. Step 4: Simplify right side
    6,981,931.69x = 117,467,949,598,909.11
  5. Step 5: Solve for x
    x = 117,467,949,598,909.11/6,981,931.69
  6. Step 6: Final answer
    x = 16,824,563.01

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.