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Finding the Third Proportional to 10,677,420 and 23,034,456

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Solution

The third proportional to 10,677,420 and 23,034,456 is: 49,692,356.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,677,420 : 23,034,456 = 23,034,456 : x
  2. Step 2: Convert to fraction form
    10,677,420/23,034,456 = 23,034,456/x
  3. Step 3: Cross multiply
    10,677,420x = 23,034,456 × 23,034,456
  4. Step 4: Simplify right side
    10,677,420x = 530,586,163,215,936
  5. Step 5: Solve for x
    x = 530,586,163,215,936/10,677,420
  6. Step 6: Final answer
    x = 49,692,356.69

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.