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Finding the Third Proportional to 65,747,128,261.50 and 101,639,947,851

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Solution

The third proportional to 65,747,128,261.50 and 101,639,947,851 is: 157,127,455,940.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,747,128,261.50 : 101,639,947,851 = 101,639,947,851 : x
  2. Step 2: Convert to fraction form
    65,747,128,261.50/101,639,947,851 = 101,639,947,851/x
  3. Step 3: Cross multiply
    65,747,128,261.50x = 101,639,947,851 × 101,639,947,851
  4. Step 4: Simplify right side
    65,747,128,261.50x = 10,330,678,999,154,000,134,144
  5. Step 5: Solve for x
    x = 10,330,678,999,154,000,134,144/65,747,128,261.50
  6. Step 6: Final answer
    x = 157,127,455,940.97

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.