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Finding the Third Proportional to 1,823,182,072 and 4,220,403,722

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Solution

The third proportional to 1,823,182,072 and 4,220,403,722 is: 9,769,626,330.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,823,182,072 : 4,220,403,722 = 4,220,403,722 : x
  2. Step 2: Convert to fraction form
    1,823,182,072/4,220,403,722 = 4,220,403,722/x
  3. Step 3: Cross multiply
    1,823,182,072x = 4,220,403,722 × 4,220,403,722
  4. Step 4: Simplify right side
    1,823,182,072x = 17,811,807,576,671,453,184
  5. Step 5: Solve for x
    x = 17,811,807,576,671,453,184/1,823,182,072
  6. Step 6: Final answer
    x = 9,769,626,330.92

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.