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Finding the Third Proportional to 9,312,770 and 13,911,801

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Solution

The third proportional to 9,312,770 and 13,911,801 is: 20,782,023.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,312,770 : 13,911,801 = 13,911,801 : x
  2. Step 2: Convert to fraction form
    9,312,770/13,911,801 = 13,911,801/x
  3. Step 3: Cross multiply
    9,312,770x = 13,911,801 × 13,911,801
  4. Step 4: Simplify right side
    9,312,770x = 193,538,207,063,601
  5. Step 5: Solve for x
    x = 193,538,207,063,601/9,312,770
  6. Step 6: Final answer
    x = 20,782,023.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.