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Finding the Third Proportional to 413,908,089.75 and 901,299,379.50

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Solution

The third proportional to 413,908,089.75 and 901,299,379.50 is: 1,962,611,003.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,908,089.75 : 901,299,379.50 = 901,299,379.50 : x
  2. Step 2: Convert to fraction form
    413,908,089.75/901,299,379.50 = 901,299,379.50/x
  3. Step 3: Cross multiply
    413,908,089.75x = 901,299,379.50 × 901,299,379.50
  4. Step 4: Simplify right side
    413,908,089.75x = 812,340,571,487,085,056
  5. Step 5: Solve for x
    x = 812,340,571,487,085,056/413,908,089.75
  6. Step 6: Final answer
    x = 1,962,611,003.76

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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.