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Finding the Third Proportional to 77,272,776 and 160,890,768

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Solution

The third proportional to 77,272,776 and 160,890,768 is: 334,993,002.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,272,776 : 160,890,768 = 160,890,768 : x
  2. Step 2: Convert to fraction form
    77,272,776/160,890,768 = 160,890,768/x
  3. Step 3: Cross multiply
    77,272,776x = 160,890,768 × 160,890,768
  4. Step 4: Simplify right side
    77,272,776x = 25,885,839,227,629,824
  5. Step 5: Solve for x
    x = 25,885,839,227,629,824/77,272,776
  6. Step 6: Final answer
    x = 334,993,002.29

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.