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Finding the Third Proportional to 10,010,989,638 and 13,633,259,130

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Solution

The third proportional to 10,010,989,638 and 13,633,259,130 is: 18,566,171,899.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,010,989,638 : 13,633,259,130 = 13,633,259,130 : x
  2. Step 2: Convert to fraction form
    10,010,989,638/13,633,259,130 = 13,633,259,130/x
  3. Step 3: Cross multiply
    10,010,989,638x = 13,633,259,130 × 13,633,259,130
  4. Step 4: Simplify right side
    10,010,989,638x = 185,865,754,505,728,360,448
  5. Step 5: Solve for x
    x = 185,865,754,505,728,360,448/10,010,989,638
  6. Step 6: Final answer
    x = 18,566,171,899.75

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.