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Finding the Third Proportional to 10,010,989,633 and 13,633,259,123

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Solution

The third proportional to 10,010,989,633 and 13,633,259,123 is: 18,566,171,889.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,010,989,633 : 13,633,259,123 = 13,633,259,123 : x
  2. Step 2: Convert to fraction form
    10,010,989,633/13,633,259,123 = 13,633,259,123/x
  3. Step 3: Cross multiply
    10,010,989,633x = 13,633,259,123 × 13,633,259,123
  4. Step 4: Simplify right side
    10,010,989,633x = 185,865,754,314,862,723,072
  5. Step 5: Solve for x
    x = 185,865,754,314,862,723,072/10,010,989,633
  6. Step 6: Final answer
    x = 18,566,171,889.96

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Why These Related Problems?

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