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Finding the Third Proportional to 8,977,824 and 13,929,887

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Solution

The third proportional to 8,977,824 and 13,929,887 is: 21,613,450.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,977,824 : 13,929,887 = 13,929,887 : x
  2. Step 2: Convert to fraction form
    8,977,824/13,929,887 = 13,929,887/x
  3. Step 3: Cross multiply
    8,977,824x = 13,929,887 × 13,929,887
  4. Step 4: Simplify right side
    8,977,824x = 194,041,751,832,769
  5. Step 5: Solve for x
    x = 194,041,751,832,769/8,977,824
  6. Step 6: Final answer
    x = 21,613,450.19

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.