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Finding the Third Proportional to 13,050,992 and 19,567,432

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Solution

The third proportional to 13,050,992 and 19,567,432 is: 29,337,570.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,050,992 : 19,567,432 = 19,567,432 : x
  2. Step 2: Convert to fraction form
    13,050,992/19,567,432 = 19,567,432/x
  3. Step 3: Cross multiply
    13,050,992x = 19,567,432 × 19,567,432
  4. Step 4: Simplify right side
    13,050,992x = 382,884,395,074,624
  5. Step 5: Solve for x
    x = 382,884,395,074,624/13,050,992
  6. Step 6: Final answer
    x = 29,337,570.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.