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Finding the Third Proportional to 74,219,009 and 100,684,813

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Solution

The third proportional to 74,219,009 and 100,684,813 is: 136,588,075.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,219,009 : 100,684,813 = 100,684,813 : x
  2. Step 2: Convert to fraction form
    74,219,009/100,684,813 = 100,684,813/x
  3. Step 3: Cross multiply
    74,219,009x = 100,684,813 × 100,684,813
  4. Step 4: Simplify right side
    74,219,009x = 10,137,431,568,844,968
  5. Step 5: Solve for x
    x = 10,137,431,568,844,968/74,219,009
  6. Step 6: Final answer
    x = 136,588,075.02

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.