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Finding the Third Proportional to 262,097,230 and 568,746,911

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Solution

The third proportional to 262,097,230 and 568,746,911 is: 1,234,171,947.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,097,230 : 568,746,911 = 568,746,911 : x
  2. Step 2: Convert to fraction form
    262,097,230/568,746,911 = 568,746,911/x
  3. Step 3: Cross multiply
    262,097,230x = 568,746,911 × 568,746,911
  4. Step 4: Simplify right side
    262,097,230x = 323,473,048,772,041,920
  5. Step 5: Solve for x
    x = 323,473,048,772,041,920/262,097,230
  6. Step 6: Final answer
    x = 1,234,171,947.46

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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.