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Finding the Third Proportional to 7,276,767 and 14,767,359

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Solution

The third proportional to 7,276,767 and 14,767,359 is: 29,968,651.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,276,767 : 14,767,359 = 14,767,359 : x
  2. Step 2: Convert to fraction form
    7,276,767/14,767,359 = 14,767,359/x
  3. Step 3: Cross multiply
    7,276,767x = 14,767,359 × 14,767,359
  4. Step 4: Simplify right side
    7,276,767x = 218,074,891,834,881
  5. Step 5: Solve for x
    x = 218,074,891,834,881/7,276,767
  6. Step 6: Final answer
    x = 29,968,651.17

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.