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Finding the Third Proportional to 177,361,941,964 and 367,295,918,911

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Solution

The third proportional to 177,361,941,964 and 367,295,918,911 is: 760,627,057,613.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,361,941,964 : 367,295,918,911 = 367,295,918,911 : x
  2. Step 2: Convert to fraction form
    177,361,941,964/367,295,918,911 = 367,295,918,911/x
  3. Step 3: Cross multiply
    177,361,941,964x = 367,295,918,911 × 367,295,918,911
  4. Step 4: Simplify right side
    177,361,941,964x = 134,906,292,048,675,886,596,096
  5. Step 5: Solve for x
    x = 134,906,292,048,675,886,596,096/177,361,941,964
  6. Step 6: Final answer
    x = 760,627,057,613.40

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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.