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Finding the Third Proportional to 356,796,726 and 768,251,728

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Solution

The third proportional to 356,796,726 and 768,251,728 is: 1,654,193,199.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,796,726 : 768,251,728 = 768,251,728 : x
  2. Step 2: Convert to fraction form
    356,796,726/768,251,728 = 768,251,728/x
  3. Step 3: Cross multiply
    356,796,726x = 768,251,728 × 768,251,728
  4. Step 4: Simplify right side
    356,796,726x = 590,210,717,574,985,984
  5. Step 5: Solve for x
    x = 590,210,717,574,985,984/356,796,726
  6. Step 6: Final answer
    x = 1,654,193,199.00

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.