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Finding the Third Proportional to 337,245,146 and 780,673,894

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Solution

The third proportional to 337,245,146 and 780,673,894 is: 1,807,147,518.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,245,146 : 780,673,894 = 780,673,894 : x
  2. Step 2: Convert to fraction form
    337,245,146/780,673,894 = 780,673,894/x
  3. Step 3: Cross multiply
    337,245,146x = 780,673,894 × 780,673,894
  4. Step 4: Simplify right side
    337,245,146x = 609,451,728,773,123,200
  5. Step 5: Solve for x
    x = 609,451,728,773,123,200/337,245,146
  6. Step 6: Final answer
    x = 1,807,147,518.66

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.