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Finding the Third Proportional to 177,361,941,952 and 367,295,918,887

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Solution

The third proportional to 177,361,941,952 and 367,295,918,887 is: 760,627,057,565.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,361,941,952 : 367,295,918,887 = 367,295,918,887 : x
  2. Step 2: Convert to fraction form
    177,361,941,952/367,295,918,887 = 367,295,918,887/x
  3. Step 3: Cross multiply
    177,361,941,952x = 367,295,918,887 × 367,295,918,887
  4. Step 4: Simplify right side
    177,361,941,952x = 134,906,292,031,045,683,380,224
  5. Step 5: Solve for x
    x = 134,906,292,031,045,683,380,224/177,361,941,952
  6. Step 6: Final answer
    x = 760,627,057,565.46

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.