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Finding the Third Proportional to 9,312,824 and 13,911,897

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Solution

The third proportional to 9,312,824 and 13,911,897 is: 20,782,190.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,312,824 : 13,911,897 = 13,911,897 : x
  2. Step 2: Convert to fraction form
    9,312,824/13,911,897 = 13,911,897/x
  3. Step 3: Cross multiply
    9,312,824x = 13,911,897 × 13,911,897
  4. Step 4: Simplify right side
    9,312,824x = 193,540,878,138,609
  5. Step 5: Solve for x
    x = 193,540,878,138,609/9,312,824
  6. Step 6: Final answer
    x = 20,782,190.04

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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.