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Finding the Third Proportional to 9,277,307 and 14,155,915

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Solution

The third proportional to 9,277,307 and 14,155,915 is: 21,600,010.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,277,307 : 14,155,915 = 14,155,915 : x
  2. Step 2: Convert to fraction form
    9,277,307/14,155,915 = 14,155,915/x
  3. Step 3: Cross multiply
    9,277,307x = 14,155,915 × 14,155,915
  4. Step 4: Simplify right side
    9,277,307x = 200,389,929,487,225
  5. Step 5: Solve for x
    x = 200,389,929,487,225/9,277,307
  6. Step 6: Final answer
    x = 21,600,010.59

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.