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Finding the Third Proportional to 266,367,424,506.76 and 628,579,449,355.52

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Solution

The third proportional to 266,367,424,506.76 and 628,579,449,355.52 is: 1,483,335,001,957.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,367,424,506.76 : 628,579,449,355.52 = 628,579,449,355.52 : x
  2. Step 2: Convert to fraction form
    266,367,424,506.76/628,579,449,355.52 = 628,579,449,355.52/x
  3. Step 3: Cross multiply
    266,367,424,506.76x = 628,579,449,355.52 × 628,579,449,355.52
  4. Step 4: Simplify right side
    266,367,424,506.76x = 395,112,124,152,088,738,398,208
  5. Step 5: Solve for x
    x = 395,112,124,152,088,738,398,208/266,367,424,506.76
  6. Step 6: Final answer
    x = 1,483,335,001,957.27

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1.5x scale

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.