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Finding the Third Proportional to 1,093,039,569 and 2,380,153,464

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Solution

The third proportional to 1,093,039,569 and 2,380,153,464 is: 5,182,914,391.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,093,039,569 : 2,380,153,464 = 2,380,153,464 : x
  2. Step 2: Convert to fraction form
    1,093,039,569/2,380,153,464 = 2,380,153,464/x
  3. Step 3: Cross multiply
    1,093,039,569x = 2,380,153,464 × 2,380,153,464
  4. Step 4: Simplify right side
    1,093,039,569x = 5,665,130,512,191,199,232
  5. Step 5: Solve for x
    x = 5,665,130,512,191,199,232/1,093,039,569
  6. Step 6: Final answer
    x = 5,182,914,391.08

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.