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Finding the Third Proportional to 2,810,769,381 and 6,105,402,670

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Solution

The third proportional to 2,810,769,381 and 6,105,402,670 is: 13,261,828,599.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,810,769,381 : 6,105,402,670 = 6,105,402,670 : x
  2. Step 2: Convert to fraction form
    2,810,769,381/6,105,402,670 = 6,105,402,670/x
  3. Step 3: Cross multiply
    2,810,769,381x = 6,105,402,670 × 6,105,402,670
  4. Step 4: Simplify right side
    2,810,769,381x = 37,275,941,762,843,131,904
  5. Step 5: Solve for x
    x = 37,275,941,762,843,131,904/2,810,769,381
  6. Step 6: Final answer
    x = 13,261,828,599.25

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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.