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Finding the Third Proportional to 30,401,274,275.50 and 65,377,835,789

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Solution

The third proportional to 30,401,274,275.50 and 65,377,835,789 is: 140,594,811,050.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,401,274,275.50 : 65,377,835,789 = 65,377,835,789 : x
  2. Step 2: Convert to fraction form
    30,401,274,275.50/65,377,835,789 = 65,377,835,789/x
  3. Step 3: Cross multiply
    30,401,274,275.50x = 65,377,835,789 × 65,377,835,789
  4. Step 4: Simplify right side
    30,401,274,275.50x = 4,274,261,412,453,449,465,856
  5. Step 5: Solve for x
    x = 4,274,261,412,453,449,465,856/30,401,274,275.50
  6. Step 6: Final answer
    x = 140,594,811,050.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.