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Finding the Third Proportional to 65,001,704,728.50 and 131,831,109,459

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Solution

The third proportional to 65,001,704,728.50 and 131,831,109,459 is: 267,369,009,686.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,001,704,728.50 : 131,831,109,459 = 131,831,109,459 : x
  2. Step 2: Convert to fraction form
    65,001,704,728.50/131,831,109,459 = 131,831,109,459/x
  3. Step 3: Cross multiply
    65,001,704,728.50x = 131,831,109,459 × 131,831,109,459
  4. Step 4: Simplify right side
    65,001,704,728.50x = 17,379,441,421,190,839,664,640
  5. Step 5: Solve for x
    x = 17,379,441,421,190,839,664,640/65,001,704,728.50
  6. Step 6: Final answer
    x = 267,369,009,686.46

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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.