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Finding the Third Proportional to 31,556,854,077 and 69,424,968,603

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Solution

The third proportional to 31,556,854,077 and 69,424,968,603 is: 152,734,688,120.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,556,854,077 : 69,424,968,603 = 69,424,968,603 : x
  2. Step 2: Convert to fraction form
    31,556,854,077/69,424,968,603 = 69,424,968,603/x
  3. Step 3: Cross multiply
    31,556,854,077x = 69,424,968,603 × 69,424,968,603
  4. Step 4: Simplify right side
    31,556,854,077x = 4,819,826,265,527,535,271,936
  5. Step 5: Solve for x
    x = 4,819,826,265,527,535,271,936/31,556,854,077
  6. Step 6: Final answer
    x = 152,734,688,120.91

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.