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Finding the Third Proportional to 768,747,009.94 and 1,148,082,982.88

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Solution

The third proportional to 768,747,009.94 and 1,148,082,982.88 is: 1,714,601,186.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,747,009.94 : 1,148,082,982.88 = 1,148,082,982.88 : x
  2. Step 2: Convert to fraction form
    768,747,009.94/1,148,082,982.88 = 1,148,082,982.88/x
  3. Step 3: Cross multiply
    768,747,009.94x = 1,148,082,982.88 × 1,148,082,982.88
  4. Step 4: Simplify right side
    768,747,009.94x = 1,318,094,535,567,157,504
  5. Step 5: Solve for x
    x = 1,318,094,535,567,157,504/768,747,009.94
  6. Step 6: Final answer
    x = 1,714,601,186.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.