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Finding the Third Proportional to 550,148,987 and 823,045,024

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Solution

The third proportional to 550,148,987 and 823,045,024 is: 1,231,308,477.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,148,987 : 823,045,024 = 823,045,024 : x
  2. Step 2: Convert to fraction form
    550,148,987/823,045,024 = 823,045,024/x
  3. Step 3: Cross multiply
    550,148,987x = 823,045,024 × 823,045,024
  4. Step 4: Simplify right side
    550,148,987x = 677,403,111,531,160,576
  5. Step 5: Solve for x
    x = 677,403,111,531,160,576/550,148,987
  6. Step 6: Final answer
    x = 1,231,308,477.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.