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Finding the Third Proportional to 5,295,291 and 11,430,384

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Solution

The third proportional to 5,295,291 and 11,430,384 is: 24,673,559.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,295,291 : 11,430,384 = 11,430,384 : x
  2. Step 2: Convert to fraction form
    5,295,291/11,430,384 = 11,430,384/x
  3. Step 3: Cross multiply
    5,295,291x = 11,430,384 × 11,430,384
  4. Step 4: Simplify right side
    5,295,291x = 130,653,678,387,456
  5. Step 5: Solve for x
    x = 130,653,678,387,456/5,295,291
  6. Step 6: Final answer
    x = 24,673,559.66

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Why These Related Problems?

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