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Finding the Third Proportional to 125,961,795,133 and 277,598,615,701

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Solution

The third proportional to 125,961,795,133 and 277,598,615,701 is: 611,780,670,144.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,961,795,133 : 277,598,615,701 = 277,598,615,701 : x
  2. Step 2: Convert to fraction form
    125,961,795,133/277,598,615,701 = 277,598,615,701/x
  3. Step 3: Cross multiply
    125,961,795,133x = 277,598,615,701 × 277,598,615,701
  4. Step 4: Simplify right side
    125,961,795,133x = 77,060,991,439,111,484,080,128
  5. Step 5: Solve for x
    x = 77,060,991,439,111,484,080,128/125,961,795,133
  6. Step 6: Final answer
    x = 611,780,670,144.82

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.