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Finding the Third Proportional to 1,184,350,806 and 2,566,194,381

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Solution

The third proportional to 1,184,350,806 and 2,566,194,381 is: 5,560,306,598.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,184,350,806 : 2,566,194,381 = 2,566,194,381 : x
  2. Step 2: Convert to fraction form
    1,184,350,806/2,566,194,381 = 2,566,194,381/x
  3. Step 3: Cross multiply
    1,184,350,806x = 2,566,194,381 × 2,566,194,381
  4. Step 4: Simplify right side
    1,184,350,806x = 6,585,353,601,075,973,120
  5. Step 5: Solve for x
    x = 6,585,353,601,075,973,120/1,184,350,806
  6. Step 6: Final answer
    x = 5,560,306,598.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.