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Finding the Third Proportional to 1,434,783,571,029 and 3,162,021,729,084

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Solution

The third proportional to 1,434,783,571,029 and 3,162,021,729,084 is: 6,968,564,191,203.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,434,783,571,029 : 3,162,021,729,084 = 3,162,021,729,084 : x
  2. Step 2: Convert to fraction form
    1,434,783,571,029/3,162,021,729,084 = 3,162,021,729,084/x
  3. Step 3: Cross multiply
    1,434,783,571,029x = 3,162,021,729,084 × 3,162,021,729,084
  4. Step 4: Simplify right side
    1,434,783,571,029x = 9,998,381,415,199,368,986,755,072
  5. Step 5: Solve for x
    x = 9,998,381,415,199,368,986,755,072/1,434,783,571,029
  6. Step 6: Final answer
    x = 6,968,564,191,203.22

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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.