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Finding the Third Proportional to 540,202,093.13 and 1,250,489,986.13

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Solution

The third proportional to 540,202,093.13 and 1,250,489,986.13 is: 2,894,704,084.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,202,093.13 : 1,250,489,986.13 = 1,250,489,986.13 : x
  2. Step 2: Convert to fraction form
    540,202,093.13/1,250,489,986.13 = 1,250,489,986.13/x
  3. Step 3: Cross multiply
    540,202,093.13x = 1,250,489,986.13 × 1,250,489,986.13
  4. Step 4: Simplify right side
    540,202,093.13x = 1,563,725,205,398,902,784
  5. Step 5: Solve for x
    x = 1,563,725,205,398,902,784/540,202,093.13
  6. Step 6: Final answer
    x = 2,894,704,084.45

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.