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Finding the Third Proportional to 1,184,350,788 and 2,566,194,340.50

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Solution

The third proportional to 1,184,350,788 and 2,566,194,340.50 is: 5,560,306,507.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,184,350,788 : 2,566,194,340.50 = 2,566,194,340.50 : x
  2. Step 2: Convert to fraction form
    1,184,350,788/2,566,194,340.50 = 2,566,194,340.50/x
  3. Step 3: Cross multiply
    1,184,350,788x = 2,566,194,340.50 × 2,566,194,340.50
  4. Step 4: Simplify right side
    1,184,350,788x = 6,585,353,393,214,229,504
  5. Step 5: Solve for x
    x = 6,585,353,393,214,229,504/1,184,350,788
  6. Step 6: Final answer
    x = 5,560,306,507.11

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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.