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Finding the Third Proportional to 1,766,684,985 and 3,716,133,186

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Solution

The third proportional to 1,766,684,985 and 3,716,133,186 is: 7,816,699,622.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,766,684,985 : 3,716,133,186 = 3,716,133,186 : x
  2. Step 2: Convert to fraction form
    1,766,684,985/3,716,133,186 = 3,716,133,186/x
  3. Step 3: Cross multiply
    1,766,684,985x = 3,716,133,186 × 3,716,133,186
  4. Step 4: Simplify right side
    1,766,684,985x = 13,809,645,856,090,511,360
  5. Step 5: Solve for x
    x = 13,809,645,856,090,511,360/1,766,684,985
  6. Step 6: Final answer
    x = 7,816,699,622.93

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.