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Finding the Third Proportional to 18,119,497,075,510 and 39,747,022,098,507

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Solution

The third proportional to 18,119,497,075,510 and 39,747,022,098,507 is: 87,189,272,368,628.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,119,497,075,510 : 39,747,022,098,507 = 39,747,022,098,507 : x
  2. Step 2: Convert to fraction form
    18,119,497,075,510/39,747,022,098,507 = 39,747,022,098,507/x
  3. Step 3: Cross multiply
    18,119,497,075,510x = 39,747,022,098,507 × 39,747,022,098,507
  4. Step 4: Simplify right side
    18,119,497,075,510x = 1,579,825,765,699,203,677,609,263,104
  5. Step 5: Solve for x
    x = 1,579,825,765,699,203,677,609,263,104/18,119,497,075,510
  6. Step 6: Final answer
    x = 87,189,272,368,628.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.