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Finding the Third Proportional to 1,823,182,070 and 4,220,403,717

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Solution

The third proportional to 1,823,182,070 and 4,220,403,717 is: 9,769,626,318.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,823,182,070 : 4,220,403,717 = 4,220,403,717 : x
  2. Step 2: Convert to fraction form
    1,823,182,070/4,220,403,717 = 4,220,403,717/x
  3. Step 3: Cross multiply
    1,823,182,070x = 4,220,403,717 × 4,220,403,717
  4. Step 4: Simplify right side
    1,823,182,070x = 17,811,807,534,467,416,064
  5. Step 5: Solve for x
    x = 17,811,807,534,467,416,064/1,823,182,070
  6. Step 6: Final answer
    x = 9,769,626,318.49

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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.