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Finding the Third Proportional to 6,818,098 and 14,717,764

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Solution

The third proportional to 6,818,098 and 14,717,764 is: 31,770,235.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,818,098 : 14,717,764 = 14,717,764 : x
  2. Step 2: Convert to fraction form
    6,818,098/14,717,764 = 14,717,764/x
  3. Step 3: Cross multiply
    6,818,098x = 14,717,764 × 14,717,764
  4. Step 4: Simplify right side
    6,818,098x = 216,612,577,159,696
  5. Step 5: Solve for x
    x = 216,612,577,159,696/6,818,098
  6. Step 6: Final answer
    x = 31,770,235.21

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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.