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Finding the Third Proportional to 6,782,634 and 14,743,332

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Solution

The third proportional to 6,782,634 and 14,743,332 is: 32,047,407.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,782,634 : 14,743,332 = 14,743,332 : x
  2. Step 2: Convert to fraction form
    6,782,634/14,743,332 = 14,743,332/x
  3. Step 3: Cross multiply
    6,782,634x = 14,743,332 × 14,743,332
  4. Step 4: Simplify right side
    6,782,634x = 217,365,838,462,224
  5. Step 5: Solve for x
    x = 217,365,838,462,224/6,782,634
  6. Step 6: Final answer
    x = 32,047,407.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.