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Finding the Third Proportional to 23,506,813,810,971 and 51,140,722,493,721

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Solution

The third proportional to 23,506,813,810,971 and 51,140,722,493,721 is: 111,260,229,404,596.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,506,813,810,971 : 51,140,722,493,721 = 51,140,722,493,721 : x
  2. Step 2: Convert to fraction form
    23,506,813,810,971/51,140,722,493,721 = 51,140,722,493,721/x
  3. Step 3: Cross multiply
    23,506,813,810,971x = 51,140,722,493,721 × 51,140,722,493,721
  4. Step 4: Simplify right side
    23,506,813,810,971x = 2,615,373,497,179,781,228,142,788,608
  5. Step 5: Solve for x
    x = 2,615,373,497,179,781,228,142,788,608/23,506,813,810,971
  6. Step 6: Final answer
    x = 111,260,229,404,596.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.