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Finding the Third Proportional to 344,795,251.50 and 766,118,007

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Solution

The third proportional to 344,795,251.50 and 766,118,007 is: 1,702,276,345.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,795,251.50 : 766,118,007 = 766,118,007 : x
  2. Step 2: Convert to fraction form
    344,795,251.50/766,118,007 = 766,118,007/x
  3. Step 3: Cross multiply
    344,795,251.50x = 766,118,007 × 766,118,007
  4. Step 4: Simplify right side
    344,795,251.50x = 586,936,800,649,652,096
  5. Step 5: Solve for x
    x = 586,936,800,649,652,096/344,795,251.50
  6. Step 6: Final answer
    x = 1,702,276,345.44

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.