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Finding the Third Proportional to 13,159,660 and 19,629,946

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Solution

The third proportional to 13,159,660 and 19,629,946 is: 29,281,514.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,159,660 : 19,629,946 = 19,629,946 : x
  2. Step 2: Convert to fraction form
    13,159,660/19,629,946 = 19,629,946/x
  3. Step 3: Cross multiply
    13,159,660x = 19,629,946 × 19,629,946
  4. Step 4: Simplify right side
    13,159,660x = 385,334,779,962,916
  5. Step 5: Solve for x
    x = 385,334,779,962,916/13,159,660
  6. Step 6: Final answer
    x = 29,281,514.87

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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.