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Finding the Third Proportional to 1,989,808,080.75 and 4,259,136,906

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Solution

The third proportional to 1,989,808,080.75 and 4,259,136,906 is: 9,116,581,322.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,989,808,080.75 : 4,259,136,906 = 4,259,136,906 : x
  2. Step 2: Convert to fraction form
    1,989,808,080.75/4,259,136,906 = 4,259,136,906/x
  3. Step 3: Cross multiply
    1,989,808,080.75x = 4,259,136,906 × 4,259,136,906
  4. Step 4: Simplify right side
    1,989,808,080.75x = 18,140,247,184,051,253,248
  5. Step 5: Solve for x
    x = 18,140,247,184,051,253,248/1,989,808,080.75
  6. Step 6: Final answer
    x = 9,116,581,322.36

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.