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Finding the Third Proportional to 19,873,296 and 29,909,452.50

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Solution

The third proportional to 19,873,296 and 29,909,452.50 is: 45,013,939.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,873,296 : 29,909,452.50 = 29,909,452.50 : x
  2. Step 2: Convert to fraction form
    19,873,296/29,909,452.50 = 29,909,452.50/x
  3. Step 3: Cross multiply
    19,873,296x = 29,909,452.50 × 29,909,452.50
  4. Step 4: Simplify right side
    19,873,296x = 894,575,348,849,756.25
  5. Step 5: Solve for x
    x = 894,575,348,849,756.25/19,873,296
  6. Step 6: Final answer
    x = 45,013,939.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.