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Finding the Third Proportional to 6,818,724 and 14,700,168

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Solution

The third proportional to 6,818,724 and 14,700,168 is: 31,691,404.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,818,724 : 14,700,168 = 14,700,168 : x
  2. Step 2: Convert to fraction form
    6,818,724/14,700,168 = 14,700,168/x
  3. Step 3: Cross multiply
    6,818,724x = 14,700,168 × 14,700,168
  4. Step 4: Simplify right side
    6,818,724x = 216,094,939,228,224
  5. Step 5: Solve for x
    x = 216,094,939,228,224/6,818,724
  6. Step 6: Final answer
    x = 31,691,404.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.