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Finding the Third Proportional to 14,414,786 and 19,415,739

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Solution

The third proportional to 14,414,786 and 19,415,739 is: 26,151,683.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,414,786 : 19,415,739 = 19,415,739 : x
  2. Step 2: Convert to fraction form
    14,414,786/19,415,739 = 19,415,739/x
  3. Step 3: Cross multiply
    14,414,786x = 19,415,739 × 19,415,739
  4. Step 4: Simplify right side
    14,414,786x = 376,970,920,916,121
  5. Step 5: Solve for x
    x = 376,970,920,916,121/14,414,786
  6. Step 6: Final answer
    x = 26,151,683.48

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.