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Finding the Third Proportional to 455,553,843.75 and 680,345,555.25

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Solution

The third proportional to 455,553,843.75 and 680,345,555.25 is: 1,016,060,079.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,553,843.75 : 680,345,555.25 = 680,345,555.25 : x
  2. Step 2: Convert to fraction form
    455,553,843.75/680,345,555.25 = 680,345,555.25/x
  3. Step 3: Cross multiply
    455,553,843.75x = 680,345,555.25 × 680,345,555.25
  4. Step 4: Simplify right side
    455,553,843.75x = 462,870,074,548,430,784
  5. Step 5: Solve for x
    x = 462,870,074,548,430,784/455,553,843.75
  6. Step 6: Final answer
    x = 1,016,060,079.17

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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.