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Finding the Third Proportional to 2,810,769,379 and 6,105,402,666

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Solution

The third proportional to 2,810,769,379 and 6,105,402,666 is: 13,261,828,591.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,810,769,379 : 6,105,402,666 = 6,105,402,666 : x
  2. Step 2: Convert to fraction form
    2,810,769,379/6,105,402,666 = 6,105,402,666/x
  3. Step 3: Cross multiply
    2,810,769,379x = 6,105,402,666 × 6,105,402,666
  4. Step 4: Simplify right side
    2,810,769,379x = 37,275,941,713,999,904,768
  5. Step 5: Solve for x
    x = 37,275,941,713,999,904,768/2,810,769,379
  6. Step 6: Final answer
    x = 13,261,828,591.31

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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.