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Finding the Third Proportional to 1,407,759,813 and 2,068,543,116

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Solution

The third proportional to 1,407,759,813 and 2,068,543,116 is: 3,039,489,111.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407,759,813 : 2,068,543,116 = 2,068,543,116 : x
  2. Step 2: Convert to fraction form
    1,407,759,813/2,068,543,116 = 2,068,543,116/x
  3. Step 3: Cross multiply
    1,407,759,813x = 2,068,543,116 × 2,068,543,116
  4. Step 4: Simplify right side
    1,407,759,813x = 4,278,870,622,750,989,312
  5. Step 5: Solve for x
    x = 4,278,870,622,750,989,312/1,407,759,813
  6. Step 6: Final answer
    x = 3,039,489,111.17

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.