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Finding the Third Proportional to 6,746,698 and 14,457,620

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Solution

The third proportional to 6,746,698 and 14,457,620 is: 30,981,492.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,746,698 : 14,457,620 = 14,457,620 : x
  2. Step 2: Convert to fraction form
    6,746,698/14,457,620 = 14,457,620/x
  3. Step 3: Cross multiply
    6,746,698x = 14,457,620 × 14,457,620
  4. Step 4: Simplify right side
    6,746,698x = 209,022,776,064,400
  5. Step 5: Solve for x
    x = 209,022,776,064,400/6,746,698
  6. Step 6: Final answer
    x = 30,981,492.88

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