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Finding the Third Proportional to 539,078,806.50 and 828,090,992.25

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Solution

The third proportional to 539,078,806.50 and 828,090,992.25 is: 1,272,049,064.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,078,806.50 : 828,090,992.25 = 828,090,992.25 : x
  2. Step 2: Convert to fraction form
    539,078,806.50/828,090,992.25 = 828,090,992.25/x
  3. Step 3: Cross multiply
    539,078,806.50x = 828,090,992.25 × 828,090,992.25
  4. Step 4: Simplify right side
    539,078,806.50x = 685,734,691,445,589,504
  5. Step 5: Solve for x
    x = 685,734,691,445,589,504/539,078,806.50
  6. Step 6: Final answer
    x = 1,272,049,064.40

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.