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Finding the Third Proportional to 921,765,279 and 1,347,653,056.50

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Solution

The third proportional to 921,765,279 and 1,347,653,056.50 is: 1,970,315,873.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    921,765,279 : 1,347,653,056.50 = 1,347,653,056.50 : x
  2. Step 2: Convert to fraction form
    921,765,279/1,347,653,056.50 = 1,347,653,056.50/x
  3. Step 3: Cross multiply
    921,765,279x = 1,347,653,056.50 × 1,347,653,056.50
  4. Step 4: Simplify right side
    921,765,279x = 1,816,168,760,693,792,256
  5. Step 5: Solve for x
    x = 1,816,168,760,693,792,256/921,765,279
  6. Step 6: Final answer
    x = 1,970,315,873.33

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.