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Finding the Third Proportional to 66,706,430,503 and 101,622,632,679.50

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Solution

The third proportional to 66,706,430,503 and 101,622,632,679.50 is: 154,815,051,485.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,706,430,503 : 101,622,632,679.50 = 101,622,632,679.50 : x
  2. Step 2: Convert to fraction form
    66,706,430,503/101,622,632,679.50 = 101,622,632,679.50/x
  3. Step 3: Cross multiply
    66,706,430,503x = 101,622,632,679.50 × 101,622,632,679.50
  4. Step 4: Simplify right side
    66,706,430,503x = 10,327,159,472,712,581,120,000
  5. Step 5: Solve for x
    x = 10,327,159,472,712,581,120,000/66,706,430,503
  6. Step 6: Final answer
    x = 154,815,051,485.15

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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.