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Finding the Third Proportional to 127,391,180,066 and 197,799,092,732

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Solution

The third proportional to 127,391,180,066 and 197,799,092,732 is: 307,120,799,613.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,391,180,066 : 197,799,092,732 = 197,799,092,732 : x
  2. Step 2: Convert to fraction form
    127,391,180,066/197,799,092,732 = 197,799,092,732/x
  3. Step 3: Cross multiply
    127,391,180,066x = 197,799,092,732 × 197,799,092,732
  4. Step 4: Simplify right side
    127,391,180,066x = 39,124,481,085,602,334,244,864
  5. Step 5: Solve for x
    x = 39,124,481,085,602,334,244,864/127,391,180,066
  6. Step 6: Final answer
    x = 307,120,799,613.70

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.