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Finding the Third Proportional to 1,385,158,058,494.90 and 2,978,777,641,740.80

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Solution

The third proportional to 1,385,158,058,494.90 and 2,978,777,641,740.80 is: 6,405,851,075,635.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,385,158,058,494.90 : 2,978,777,641,740.80 = 2,978,777,641,740.80 : x
  2. Step 2: Convert to fraction form
    1,385,158,058,494.90/2,978,777,641,740.80 = 2,978,777,641,740.80/x
  3. Step 3: Cross multiply
    1,385,158,058,494.90x = 2,978,777,641,740.80 × 2,978,777,641,740.80
  4. Step 4: Simplify right side
    1,385,158,058,494.90x = 8,873,116,238,934,880,137,773,056
  5. Step 5: Solve for x
    x = 8,873,116,238,934,880,137,773,056/1,385,158,058,494.90
  6. Step 6: Final answer
    x = 6,405,851,075,635.61

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.