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Finding the Third Proportional to 1,426,896,970 and 3,134,394,734

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Solution

The third proportional to 1,426,896,970 and 3,134,394,734 is: 6,885,171,498.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426,896,970 : 3,134,394,734 = 3,134,394,734 : x
  2. Step 2: Convert to fraction form
    1,426,896,970/3,134,394,734 = 3,134,394,734/x
  3. Step 3: Cross multiply
    1,426,896,970x = 3,134,394,734 × 3,134,394,734
  4. Step 4: Simplify right side
    1,426,896,970x = 9,824,430,348,526,929,920
  5. Step 5: Solve for x
    x = 9,824,430,348,526,929,920/1,426,896,970
  6. Step 6: Final answer
    x = 6,885,171,498.07

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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.