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Finding the Third Proportional to 1,641,721,984 and 3,611,785,126

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Solution

The third proportional to 1,641,721,984 and 3,611,785,126 is: 7,945,920,151.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,641,721,984 : 3,611,785,126 = 3,611,785,126 : x
  2. Step 2: Convert to fraction form
    1,641,721,984/3,611,785,126 = 3,611,785,126/x
  3. Step 3: Cross multiply
    1,641,721,984x = 3,611,785,126 × 3,611,785,126
  4. Step 4: Simplify right side
    1,641,721,984x = 13,044,991,796,394,835,968
  5. Step 5: Solve for x
    x = 13,044,991,796,394,835,968/1,641,721,984
  6. Step 6: Final answer
    x = 7,945,920,151.85

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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.