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Finding the Third Proportional to 7,182,736 and 10,078,664

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Solution

The third proportional to 7,182,736 and 10,078,664 is: 14,142,169.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,182,736 : 10,078,664 = 10,078,664 : x
  2. Step 2: Convert to fraction form
    7,182,736/10,078,664 = 10,078,664/x
  3. Step 3: Cross multiply
    7,182,736x = 10,078,664 × 10,078,664
  4. Step 4: Simplify right side
    7,182,736x = 101,579,468,024,896
  5. Step 5: Solve for x
    x = 101,579,468,024,896/7,182,736
  6. Step 6: Final answer
    x = 14,142,169.23

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.