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Finding the Third Proportional to 431,827,474.50 and 940,326,309

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Solution

The third proportional to 431,827,474.50 and 940,326,309 is: 2,047,608,407.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,827,474.50 : 940,326,309 = 940,326,309 : x
  2. Step 2: Convert to fraction form
    431,827,474.50/940,326,309 = 940,326,309/x
  3. Step 3: Cross multiply
    431,827,474.50x = 940,326,309 × 940,326,309
  4. Step 4: Simplify right side
    431,827,474.50x = 884,213,567,397,563,520
  5. Step 5: Solve for x
    x = 884,213,567,397,563,520/431,827,474.50
  6. Step 6: Final answer
    x = 2,047,608,407.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.