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Finding the Third Proportional to 2,298,474,608 and 3,286,822,604

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Solution

The third proportional to 2,298,474,608 and 3,286,822,604 is: 4,700,161,921.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,298,474,608 : 3,286,822,604 = 3,286,822,604 : x
  2. Step 2: Convert to fraction form
    2,298,474,608/3,286,822,604 = 3,286,822,604/x
  3. Step 3: Cross multiply
    2,298,474,608x = 3,286,822,604 × 3,286,822,604
  4. Step 4: Simplify right side
    2,298,474,608x = 10,803,202,830,165,340,160
  5. Step 5: Solve for x
    x = 10,803,202,830,165,340,160/2,298,474,608
  6. Step 6: Final answer
    x = 4,700,161,921.55

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.