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Finding the Third Proportional to 185,075,831,622 and 403,008,077,700

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Solution

The third proportional to 185,075,831,622 and 403,008,077,700 is: 877,561,966,184.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,075,831,622 : 403,008,077,700 = 403,008,077,700 : x
  2. Step 2: Convert to fraction form
    185,075,831,622/403,008,077,700 = 403,008,077,700/x
  3. Step 3: Cross multiply
    185,075,831,622x = 403,008,077,700 × 403,008,077,700
  4. Step 4: Simplify right side
    185,075,831,622x = 162,415,510,691,449,237,667,840
  5. Step 5: Solve for x
    x = 162,415,510,691,449,237,667,840/185,075,831,622
  6. Step 6: Final answer
    x = 877,561,966,184.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.