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Finding the Third Proportional to 400,649,319 and 882,809,554

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Solution

The third proportional to 400,649,319 and 882,809,554 is: 1,945,224,094.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,649,319 : 882,809,554 = 882,809,554 : x
  2. Step 2: Convert to fraction form
    400,649,319/882,809,554 = 882,809,554/x
  3. Step 3: Cross multiply
    400,649,319x = 882,809,554 × 882,809,554
  4. Step 4: Simplify right side
    400,649,319x = 779,352,708,633,678,976
  5. Step 5: Solve for x
    x = 779,352,708,633,678,976/400,649,319
  6. Step 6: Final answer
    x = 1,945,224,094.18

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.