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Finding the Third Proportional to 1,347,323,865 and 2,948,638,642

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Solution

The third proportional to 1,347,323,865 and 2,948,638,642 is: 6,453,140,233.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,347,323,865 : 2,948,638,642 = 2,948,638,642 : x
  2. Step 2: Convert to fraction form
    1,347,323,865/2,948,638,642 = 2,948,638,642/x
  3. Step 3: Cross multiply
    1,347,323,865x = 2,948,638,642 × 2,948,638,642
  4. Step 4: Simplify right side
    1,347,323,865x = 8,694,469,841,095,604,224
  5. Step 5: Solve for x
    x = 8,694,469,841,095,604,224/1,347,323,865
  6. Step 6: Final answer
    x = 6,453,140,233.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.