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Finding the Third Proportional to 255,240,912 and 556,677,744

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Solution

The third proportional to 255,240,912 and 556,677,744 is: 1,214,108,303.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,240,912 : 556,677,744 = 556,677,744 : x
  2. Step 2: Convert to fraction form
    255,240,912/556,677,744 = 556,677,744/x
  3. Step 3: Cross multiply
    255,240,912x = 556,677,744 × 556,677,744
  4. Step 4: Simplify right side
    255,240,912x = 309,890,110,664,929,536
  5. Step 5: Solve for x
    x = 309,890,110,664,929,536/255,240,912
  6. Step 6: Final answer
    x = 1,214,108,303.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.