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Finding the Third Proportional to 95,710,551,726 and 209,433,305,580

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Solution

The third proportional to 95,710,551,726 and 209,433,305,580 is: 458,280,813,297.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,710,551,726 : 209,433,305,580 = 209,433,305,580 : x
  2. Step 2: Convert to fraction form
    95,710,551,726/209,433,305,580 = 209,433,305,580/x
  3. Step 3: Cross multiply
    95,710,551,726x = 209,433,305,580 × 209,433,305,580
  4. Step 4: Simplify right side
    95,710,551,726x = 43,862,309,486,165,657,387,008
  5. Step 5: Solve for x
    x = 43,862,309,486,165,657,387,008/95,710,551,726
  6. Step 6: Final answer
    x = 458,280,813,297.73

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