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Finding the Third Proportional to 5,973,648 and 13,108,514

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Solution

The third proportional to 5,973,648 and 13,108,514 is: 28,765,193.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,973,648 : 13,108,514 = 13,108,514 : x
  2. Step 2: Convert to fraction form
    5,973,648/13,108,514 = 13,108,514/x
  3. Step 3: Cross multiply
    5,973,648x = 13,108,514 × 13,108,514
  4. Step 4: Simplify right side
    5,973,648x = 171,833,139,288,196
  5. Step 5: Solve for x
    x = 171,833,139,288,196/5,973,648
  6. Step 6: Final answer
    x = 28,765,193.28

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.