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Finding the Third Proportional to 241,655,565,881 and 379,086,269,880

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Solution

The third proportional to 241,655,565,881 and 379,086,269,880 is: 594,674,488,409.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,655,565,881 : 379,086,269,880 = 379,086,269,880 : x
  2. Step 2: Convert to fraction form
    241,655,565,881/379,086,269,880 = 379,086,269,880/x
  3. Step 3: Cross multiply
    241,655,565,881x = 379,086,269,880 × 379,086,269,880
  4. Step 4: Simplify right side
    241,655,565,881x = 143,706,400,011,532,200,050,688
  5. Step 5: Solve for x
    x = 143,706,400,011,532,200,050,688/241,655,565,881
  6. Step 6: Final answer
    x = 594,674,488,409.25

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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.