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Finding the Third Proportional to 65,001,705,822 and 131,831,111,592

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Solution

The third proportional to 65,001,705,822 and 131,831,111,592 is: 267,369,013,840.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,001,705,822 : 131,831,111,592 = 131,831,111,592 : x
  2. Step 2: Convert to fraction form
    65,001,705,822/131,831,111,592 = 131,831,111,592/x
  3. Step 3: Cross multiply
    65,001,705,822x = 131,831,111,592 × 131,831,111,592
  4. Step 4: Simplify right side
    65,001,705,822x = 17,379,441,983,582,357,159,936
  5. Step 5: Solve for x
    x = 17,379,441,983,582,357,159,936/65,001,705,822
  6. Step 6: Final answer
    x = 267,369,013,840.56

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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.