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Finding the Third Proportional to 69,776,486,290 and 152,181,782,260

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Solution

The third proportional to 69,776,486,290 and 152,181,782,260 is: 331,906,865,524.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,776,486,290 : 152,181,782,260 = 152,181,782,260 : x
  2. Step 2: Convert to fraction form
    69,776,486,290/152,181,782,260 = 152,181,782,260/x
  3. Step 3: Cross multiply
    69,776,486,290x = 152,181,782,260 × 152,181,782,260
  4. Step 4: Simplify right side
    69,776,486,290x = 23,159,294,851,830,050,193,408
  5. Step 5: Solve for x
    x = 23,159,294,851,830,050,193,408/69,776,486,290
  6. Step 6: Final answer
    x = 331,906,865,524.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.