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Finding the Third Proportional to 1,684,569,523 and 3,635,486,926

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Solution

The third proportional to 1,684,569,523 and 3,635,486,926 is: 7,845,781,969.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684,569,523 : 3,635,486,926 = 3,635,486,926 : x
  2. Step 2: Convert to fraction form
    1,684,569,523/3,635,486,926 = 3,635,486,926/x
  3. Step 3: Cross multiply
    1,684,569,523x = 3,635,486,926 × 3,635,486,926
  4. Step 4: Simplify right side
    1,684,569,523x = 13,216,765,189,116,930,048
  5. Step 5: Solve for x
    x = 13,216,765,189,116,930,048/1,684,569,523
  6. Step 6: Final answer
    x = 7,845,781,969.02

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.