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Finding the Third Proportional to 640,199,463.75 and 960,299,193.94

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Solution

The third proportional to 640,199,463.75 and 960,299,193.94 is: 1,440,448,788.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,199,463.75 : 960,299,193.94 = 960,299,193.94 : x
  2. Step 2: Convert to fraction form
    640,199,463.75/960,299,193.94 = 960,299,193.94/x
  3. Step 3: Cross multiply
    640,199,463.75x = 960,299,193.94 × 960,299,193.94
  4. Step 4: Simplify right side
    640,199,463.75x = 922,174,541,877,012,224
  5. Step 5: Solve for x
    x = 922,174,541,877,012,224/640,199,463.75
  6. Step 6: Final answer
    x = 1,440,448,788.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.