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Finding the Third Proportional to 11,145,827 and 15,695,786

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Solution

The third proportional to 11,145,827 and 15,695,786 is: 22,103,133.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,145,827 : 15,695,786 = 15,695,786 : x
  2. Step 2: Convert to fraction form
    11,145,827/15,695,786 = 15,695,786/x
  3. Step 3: Cross multiply
    11,145,827x = 15,695,786 × 15,695,786
  4. Step 4: Simplify right side
    11,145,827x = 246,357,698,157,796
  5. Step 5: Solve for x
    x = 246,357,698,157,796/11,145,827
  6. Step 6: Final answer
    x = 22,103,133.14

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.