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Finding the Third Proportional to 426,745,044,787.50 and 921,505,848,684.75

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Solution

The third proportional to 426,745,044,787.50 and 921,505,848,684.75 is: 1,989,883,747,995.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,745,044,787.50 : 921,505,848,684.75 = 921,505,848,684.75 : x
  2. Step 2: Convert to fraction form
    426,745,044,787.50/921,505,848,684.75 = 921,505,848,684.75/x
  3. Step 3: Cross multiply
    426,745,044,787.50x = 921,505,848,684.75 × 921,505,848,684.75
  4. Step 4: Simplify right side
    426,745,044,787.50x = 849,173,029,160,201,312,272,384
  5. Step 5: Solve for x
    x = 849,173,029,160,201,312,272,384/426,745,044,787.50
  6. Step 6: Final answer
    x = 1,989,883,747,995.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.