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Finding the Third Proportional to 431,827,472 and 940,326,302

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Solution

The third proportional to 431,827,472 and 940,326,302 is: 2,047,608,388.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,827,472 : 940,326,302 = 940,326,302 : x
  2. Step 2: Convert to fraction form
    431,827,472/940,326,302 = 940,326,302/x
  3. Step 3: Cross multiply
    431,827,472x = 940,326,302 × 940,326,302
  4. Step 4: Simplify right side
    431,827,472x = 884,213,554,232,995,200
  5. Step 5: Solve for x
    x = 884,213,554,232,995,200/431,827,472
  6. Step 6: Final answer
    x = 2,047,608,388.92

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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.