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Finding the Third Proportional to 2,810,769,383 and 6,105,402,674

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Solution

The third proportional to 2,810,769,383 and 6,105,402,674 is: 13,261,828,607.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,810,769,383 : 6,105,402,674 = 6,105,402,674 : x
  2. Step 2: Convert to fraction form
    2,810,769,383/6,105,402,674 = 6,105,402,674/x
  3. Step 3: Cross multiply
    2,810,769,383x = 6,105,402,674 × 6,105,402,674
  4. Step 4: Simplify right side
    2,810,769,383x = 37,275,941,811,686,350,848
  5. Step 5: Solve for x
    x = 37,275,941,811,686,350,848/2,810,769,383
  6. Step 6: Final answer
    x = 13,261,828,607.19

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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.