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Finding the Third Proportional to 65,001,704,724 and 131,831,109,450

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Solution

The third proportional to 65,001,704,724 and 131,831,109,450 is: 267,369,009,668.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,001,704,724 : 131,831,109,450 = 131,831,109,450 : x
  2. Step 2: Convert to fraction form
    65,001,704,724/131,831,109,450 = 131,831,109,450/x
  3. Step 3: Cross multiply
    65,001,704,724x = 131,831,109,450 × 131,831,109,450
  4. Step 4: Simplify right side
    65,001,704,724x = 17,379,441,418,817,878,622,208
  5. Step 5: Solve for x
    x = 17,379,441,418,817,878,622,208/65,001,704,724
  6. Step 6: Final answer
    x = 267,369,009,668.47

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.