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Finding the Third Proportional to 309,944,654 and 674,368,557

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Solution

The third proportional to 309,944,654 and 674,368,557 is: 1,467,271,478.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,944,654 : 674,368,557 = 674,368,557 : x
  2. Step 2: Convert to fraction form
    309,944,654/674,368,557 = 674,368,557/x
  3. Step 3: Cross multiply
    309,944,654x = 674,368,557 × 674,368,557
  4. Step 4: Simplify right side
    309,944,654x = 454,772,950,670,262,272
  5. Step 5: Solve for x
    x = 454,772,950,670,262,272/309,944,654
  6. Step 6: Final answer
    x = 1,467,271,478.31

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