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Finding the Third Proportional to 777,104,064 and 1,690,364,973.75

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Solution

The third proportional to 777,104,064 and 1,690,364,973.75 is: 3,676,899,757.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,104,064 : 1,690,364,973.75 = 1,690,364,973.75 : x
  2. Step 2: Convert to fraction form
    777,104,064/1,690,364,973.75 = 1,690,364,973.75/x
  3. Step 3: Cross multiply
    777,104,064x = 1,690,364,973.75 × 1,690,364,973.75
  4. Step 4: Simplify right side
    777,104,064x = 2,857,333,744,480,838,144
  5. Step 5: Solve for x
    x = 2,857,333,744,480,838,144/777,104,064
  6. Step 6: Final answer
    x = 3,676,899,757.51

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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.