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Finding the Third Proportional to 2,811,757,918.50 and 6,046,675,731

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Solution

The third proportional to 2,811,757,918.50 and 6,046,675,731 is: 13,003,355,358.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,811,757,918.50 : 6,046,675,731 = 6,046,675,731 : x
  2. Step 2: Convert to fraction form
    2,811,757,918.50/6,046,675,731 = 6,046,675,731/x
  3. Step 3: Cross multiply
    2,811,757,918.50x = 6,046,675,731 × 6,046,675,731
  4. Step 4: Simplify right side
    2,811,757,918.50x = 36,562,287,395,864,383,488
  5. Step 5: Solve for x
    x = 36,562,287,395,864,383,488/2,811,757,918.50
  6. Step 6: Final answer
    x = 13,003,355,358.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.