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Finding the Third Proportional to 79,943,878,116 and 177,762,066,370

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Solution

The third proportional to 79,943,878,116 and 177,762,066,370 is: 395,269,193,649.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,943,878,116 : 177,762,066,370 = 177,762,066,370 : x
  2. Step 2: Convert to fraction form
    79,943,878,116/177,762,066,370 = 177,762,066,370/x
  3. Step 3: Cross multiply
    79,943,878,116x = 177,762,066,370 × 177,762,066,370
  4. Step 4: Simplify right side
    79,943,878,116x = 31,599,352,240,132,283,432,960
  5. Step 5: Solve for x
    x = 31,599,352,240,132,283,432,960/79,943,878,116
  6. Step 6: Final answer
    x = 395,269,193,649.59

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.