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Finding the Third Proportional to 266,367,424,506.75 and 628,579,449,355.50

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Solution

The third proportional to 266,367,424,506.75 and 628,579,449,355.50 is: 1,483,335,001,957.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,367,424,506.75 : 628,579,449,355.50 = 628,579,449,355.50 : x
  2. Step 2: Convert to fraction form
    266,367,424,506.75/628,579,449,355.50 = 628,579,449,355.50/x
  3. Step 3: Cross multiply
    266,367,424,506.75x = 628,579,449,355.50 × 628,579,449,355.50
  4. Step 4: Simplify right side
    266,367,424,506.75x = 395,112,124,152,063,572,574,208
  5. Step 5: Solve for x
    x = 395,112,124,152,063,572,574,208/266,367,424,506.75
  6. Step 6: Final answer
    x = 1,483,335,001,957.23

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.