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Finding the Third Proportional to 1,716,943,186 and 3,719,121,116

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Solution

The third proportional to 1,716,943,186 and 3,719,121,116 is: 8,056,097,597.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,716,943,186 : 3,719,121,116 = 3,719,121,116 : x
  2. Step 2: Convert to fraction form
    1,716,943,186/3,719,121,116 = 3,719,121,116/x
  3. Step 3: Cross multiply
    1,716,943,186x = 3,719,121,116 × 3,719,121,116
  4. Step 4: Simplify right side
    1,716,943,186x = 13,831,861,875,477,086,208
  5. Step 5: Solve for x
    x = 13,831,861,875,477,086,208/1,716,943,186
  6. Step 6: Final answer
    x = 8,056,097,597.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.