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Finding the Third Proportional to 26,744,211,314 and 58,293,847,085

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Solution

The third proportional to 26,744,211,314 and 58,293,847,085 is: 127,061,986,164.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,744,211,314 : 58,293,847,085 = 58,293,847,085 : x
  2. Step 2: Convert to fraction form
    26,744,211,314/58,293,847,085 = 58,293,847,085/x
  3. Step 3: Cross multiply
    26,744,211,314x = 58,293,847,085 × 58,293,847,085
  4. Step 4: Simplify right side
    26,744,211,314x = 3,398,172,607,969,362,968,576
  5. Step 5: Solve for x
    x = 3,398,172,607,969,362,968,576/26,744,211,314
  6. Step 6: Final answer
    x = 127,061,986,164.85

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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.