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Finding the Third Proportional to 24,342,433 and 51,401,106

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Solution

The third proportional to 24,342,433 and 51,401,106 is: 108,537,782.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,342,433 : 51,401,106 = 51,401,106 : x
  2. Step 2: Convert to fraction form
    24,342,433/51,401,106 = 51,401,106/x
  3. Step 3: Cross multiply
    24,342,433x = 51,401,106 × 51,401,106
  4. Step 4: Simplify right side
    24,342,433x = 2,642,073,698,023,236
  5. Step 5: Solve for x
    x = 2,642,073,698,023,236/24,342,433
  6. Step 6: Final answer
    x = 108,537,782.48

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.