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Finding the Third Proportional to 66,706,430,497.88 and 101,622,632,672.25

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Solution

The third proportional to 66,706,430,497.88 and 101,622,632,672.25 is: 154,815,051,474.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,706,430,497.88 : 101,622,632,672.25 = 101,622,632,672.25 : x
  2. Step 2: Convert to fraction form
    66,706,430,497.88/101,622,632,672.25 = 101,622,632,672.25/x
  3. Step 3: Cross multiply
    66,706,430,497.88x = 101,622,632,672.25 × 101,622,632,672.25
  4. Step 4: Simplify right side
    66,706,430,497.88x = 10,327,159,471,239,052,918,784
  5. Step 5: Solve for x
    x = 10,327,159,471,239,052,918,784/66,706,430,497.88
  6. Step 6: Final answer
    x = 154,815,051,474.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.