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Finding the Third Proportional to 6,270,932 and 9,164,430

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Solution

The third proportional to 6,270,932 and 9,164,430 is: 13,393,029.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,270,932 : 9,164,430 = 9,164,430 : x
  2. Step 2: Convert to fraction form
    6,270,932/9,164,430 = 9,164,430/x
  3. Step 3: Cross multiply
    6,270,932x = 9,164,430 × 9,164,430
  4. Step 4: Simplify right side
    6,270,932x = 83,986,777,224,900
  5. Step 5: Solve for x
    x = 83,986,777,224,900/6,270,932
  6. Step 6: Final answer
    x = 13,393,029.49

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.