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Finding the Third Proportional to 1,093,039,576 and 2,380,153,480

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Solution

The third proportional to 1,093,039,576 and 2,380,153,480 is: 5,182,914,427.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,093,039,576 : 2,380,153,480 = 2,380,153,480 : x
  2. Step 2: Convert to fraction form
    1,093,039,576/2,380,153,480 = 2,380,153,480/x
  3. Step 3: Cross multiply
    1,093,039,576x = 2,380,153,480 × 2,380,153,480
  4. Step 4: Simplify right side
    1,093,039,576x = 5,665,130,588,356,110,336
  5. Step 5: Solve for x
    x = 5,665,130,588,356,110,336/1,093,039,576
  6. Step 6: Final answer
    x = 5,182,914,427.57

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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.