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Finding the Third Proportional to 3,311,265,952 and 7,210,397,520

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Solution

The third proportional to 3,311,265,952 and 7,210,397,520 is: 15,700,892,996.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,311,265,952 : 7,210,397,520 = 7,210,397,520 : x
  2. Step 2: Convert to fraction form
    3,311,265,952/7,210,397,520 = 7,210,397,520/x
  3. Step 3: Cross multiply
    3,311,265,952x = 7,210,397,520 × 7,210,397,520
  4. Step 4: Simplify right side
    3,311,265,952x = 51,989,832,396,422,152,192
  5. Step 5: Solve for x
    x = 51,989,832,396,422,152,192/3,311,265,952
  6. Step 6: Final answer
    x = 15,700,892,996.84

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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.