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Finding the Third Proportional to 6,841,434 and 14,873,664

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Solution

The third proportional to 6,841,434 and 14,873,664 is: 32,336,185.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,841,434 : 14,873,664 = 14,873,664 : x
  2. Step 2: Convert to fraction form
    6,841,434/14,873,664 = 14,873,664/x
  3. Step 3: Cross multiply
    6,841,434x = 14,873,664 × 14,873,664
  4. Step 4: Simplify right side
    6,841,434x = 221,225,880,784,896
  5. Step 5: Solve for x
    x = 221,225,880,784,896/6,841,434
  6. Step 6: Final answer
    x = 32,336,185.77

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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.