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Finding the Third Proportional to 35,077,328,075 and 81,849,927,375

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Solution

The third proportional to 35,077,328,075 and 81,849,927,375 is: 190,989,764,014.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,077,328,075 : 81,849,927,375 = 81,849,927,375 : x
  2. Step 2: Convert to fraction form
    35,077,328,075/81,849,927,375 = 81,849,927,375/x
  3. Step 3: Cross multiply
    35,077,328,075x = 81,849,927,375 × 81,849,927,375
  4. Step 4: Simplify right side
    35,077,328,075x = 6,699,410,611,292,774,334,464
  5. Step 5: Solve for x
    x = 6,699,410,611,292,774,334,464/35,077,328,075
  6. Step 6: Final answer
    x = 190,989,764,014.20

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.