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Finding the Third Proportional to 4,157,841,735 and 9,245,311,317

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Solution

The third proportional to 4,157,841,735 and 9,245,311,317 is: 20,557,728,455.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,157,841,735 : 9,245,311,317 = 9,245,311,317 : x
  2. Step 2: Convert to fraction form
    4,157,841,735/9,245,311,317 = 9,245,311,317/x
  3. Step 3: Cross multiply
    4,157,841,735x = 9,245,311,317 × 9,245,311,317
  4. Step 4: Simplify right side
    4,157,841,735x = 85,475,781,348,248,272,896
  5. Step 5: Solve for x
    x = 85,475,781,348,248,272,896/4,157,841,735
  6. Step 6: Final answer
    x = 20,557,728,455.30

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.