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Finding the Third Proportional to 69,089,999,951 and 106,149,148,964

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Solution

The third proportional to 69,089,999,951 and 106,149,148,964 is: 163,086,435,573.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,089,999,951 : 106,149,148,964 = 106,149,148,964 : x
  2. Step 2: Convert to fraction form
    69,089,999,951/106,149,148,964 = 106,149,148,964/x
  3. Step 3: Cross multiply
    69,089,999,951x = 106,149,148,964 × 106,149,148,964
  4. Step 4: Simplify right side
    69,089,999,951x = 11,267,641,825,781,461,549,056
  5. Step 5: Solve for x
    x = 11,267,641,825,781,461,549,056/69,089,999,951
  6. Step 6: Final answer
    x = 163,086,435,573.49

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.