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Finding the Third Proportional to 6,746,690 and 14,457,604

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Solution

The third proportional to 6,746,690 and 14,457,604 is: 30,981,461.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,746,690 : 14,457,604 = 14,457,604 : x
  2. Step 2: Convert to fraction form
    6,746,690/14,457,604 = 14,457,604/x
  3. Step 3: Cross multiply
    6,746,690x = 14,457,604 × 14,457,604
  4. Step 4: Simplify right side
    6,746,690x = 209,022,313,420,816
  5. Step 5: Solve for x
    x = 209,022,313,420,816/6,746,690
  6. Step 6: Final answer
    x = 30,981,461.05

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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.