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Finding the Third Proportional to 1,688,567,161 and 2,546,139,116

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Solution

The third proportional to 1,688,567,161 and 2,546,139,116 is: 3,839,245,810.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,688,567,161 : 2,546,139,116 = 2,546,139,116 : x
  2. Step 2: Convert to fraction form
    1,688,567,161/2,546,139,116 = 2,546,139,116/x
  3. Step 3: Cross multiply
    1,688,567,161x = 2,546,139,116 × 2,546,139,116
  4. Step 4: Simplify right side
    1,688,567,161x = 6,482,824,398,025,261,056
  5. Step 5: Solve for x
    x = 6,482,824,398,025,261,056/1,688,567,161
  6. Step 6: Final answer
    x = 3,839,245,810.15

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.