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Finding the Third Proportional to 1,385,158,058,498.20 and 2,978,777,641,747.50

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Solution

The third proportional to 1,385,158,058,498.20 and 2,978,777,641,747.50 is: 6,405,851,075,649.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,385,158,058,498.20 : 2,978,777,641,747.50 = 2,978,777,641,747.50 : x
  2. Step 2: Convert to fraction form
    1,385,158,058,498.20/2,978,777,641,747.50 = 2,978,777,641,747.50/x
  3. Step 3: Cross multiply
    1,385,158,058,498.20x = 2,978,777,641,747.50 × 2,978,777,641,747.50
  4. Step 4: Simplify right side
    1,385,158,058,498.20x = 8,873,116,238,974,797,563,822,080
  5. Step 5: Solve for x
    x = 8,873,116,238,974,797,563,822,080/1,385,158,058,498.20
  6. Step 6: Final answer
    x = 6,405,851,075,649.16

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