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Finding the Third Proportional to 15,749,348 and 24,673,778

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Solution

The third proportional to 15,749,348 and 24,673,778 is: 38,655,271.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,749,348 : 24,673,778 = 24,673,778 : x
  2. Step 2: Convert to fraction form
    15,749,348/24,673,778 = 24,673,778/x
  3. Step 3: Cross multiply
    15,749,348x = 24,673,778 × 24,673,778
  4. Step 4: Simplify right side
    15,749,348x = 608,795,320,793,284
  5. Step 5: Solve for x
    x = 608,795,320,793,284/15,749,348
  6. Step 6: Final answer
    x = 38,655,271.37

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.