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Finding the Third Proportional to 6,746,691 and 14,457,606

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Solution

The third proportional to 6,746,691 and 14,457,606 is: 30,981,465.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,746,691 : 14,457,606 = 14,457,606 : x
  2. Step 2: Convert to fraction form
    6,746,691/14,457,606 = 14,457,606/x
  3. Step 3: Cross multiply
    6,746,691x = 14,457,606 × 14,457,606
  4. Step 4: Simplify right side
    6,746,691x = 209,022,371,251,236
  5. Step 5: Solve for x
    x = 209,022,371,251,236/6,746,691
  6. Step 6: Final answer
    x = 30,981,465.03

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.