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Finding the Third Proportional to 550,148,988 and 823,045,026

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Solution

The third proportional to 550,148,988 and 823,045,026 is: 1,231,308,481.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,148,988 : 823,045,026 = 823,045,026 : x
  2. Step 2: Convert to fraction form
    550,148,988/823,045,026 = 823,045,026/x
  3. Step 3: Cross multiply
    550,148,988x = 823,045,026 × 823,045,026
  4. Step 4: Simplify right side
    550,148,988x = 677,403,114,823,340,672
  5. Step 5: Solve for x
    x = 677,403,114,823,340,672/550,148,988
  6. Step 6: Final answer
    x = 1,231,308,481.16

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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.