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Finding the Third Proportional to 491,041,971 and 1,063,815,048

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Solution

The third proportional to 491,041,971 and 1,063,815,048 is: 2,304,695,979.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,041,971 : 1,063,815,048 = 1,063,815,048 : x
  2. Step 2: Convert to fraction form
    491,041,971/1,063,815,048 = 1,063,815,048/x
  3. Step 3: Cross multiply
    491,041,971x = 1,063,815,048 × 1,063,815,048
  4. Step 4: Simplify right side
    491,041,971x = 1,131,702,456,351,242,240
  5. Step 5: Solve for x
    x = 1,131,702,456,351,242,240/491,041,971
  6. Step 6: Final answer
    x = 2,304,695,979.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.