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Finding the Third Proportional to 9,126,764 and 14,029,710

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Solution

The third proportional to 9,126,764 and 14,029,710 is: 21,566,544.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,126,764 : 14,029,710 = 14,029,710 : x
  2. Step 2: Convert to fraction form
    9,126,764/14,029,710 = 14,029,710/x
  3. Step 3: Cross multiply
    9,126,764x = 14,029,710 × 14,029,710
  4. Step 4: Simplify right side
    9,126,764x = 196,832,762,684,100
  5. Step 5: Solve for x
    x = 196,832,762,684,100/9,126,764
  6. Step 6: Final answer
    x = 21,566,544.58

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.