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Finding the Third Proportional to 1,134,386,616 and 2,462,376,192

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Solution

The third proportional to 1,134,386,616 and 2,462,376,192 is: 5,345,000,042.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134,386,616 : 2,462,376,192 = 2,462,376,192 : x
  2. Step 2: Convert to fraction form
    1,134,386,616/2,462,376,192 = 2,462,376,192/x
  3. Step 3: Cross multiply
    1,134,386,616x = 2,462,376,192 × 2,462,376,192
  4. Step 4: Simplify right side
    1,134,386,616x = 6,063,296,510,928,420,864
  5. Step 5: Solve for x
    x = 6,063,296,510,928,420,864/1,134,386,616
  6. Step 6: Final answer
    x = 5,345,000,042.67

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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.