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Finding the Third Proportional to 6,818,706 and 14,700,138

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Solution

The third proportional to 6,818,706 and 14,700,138 is: 31,691,358.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,818,706 : 14,700,138 = 14,700,138 : x
  2. Step 2: Convert to fraction form
    6,818,706/14,700,138 = 14,700,138/x
  3. Step 3: Cross multiply
    6,818,706x = 14,700,138 × 14,700,138
  4. Step 4: Simplify right side
    6,818,706x = 216,094,057,219,044
  5. Step 5: Solve for x
    x = 216,094,057,219,044/6,818,706
  6. Step 6: Final answer
    x = 31,691,358.63

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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.