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Finding the Third Proportional to 550,153,421 and 823,049,006

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Solution

The third proportional to 550,153,421 and 823,049,006 is: 1,231,310,467.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,153,421 : 823,049,006 = 823,049,006 : x
  2. Step 2: Convert to fraction form
    550,153,421/823,049,006 = 823,049,006/x
  3. Step 3: Cross multiply
    550,153,421x = 823,049,006 × 823,049,006
  4. Step 4: Simplify right side
    550,153,421x = 677,409,666,277,588,096
  5. Step 5: Solve for x
    x = 677,409,666,277,588,096/550,153,421
  6. Step 6: Final answer
    x = 1,231,310,467.99

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