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Finding the Third Proportional to 37,254,104 and 81,433,888

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Solution

The third proportional to 37,254,104 and 81,433,888 is: 178,006,646.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,254,104 : 81,433,888 = 81,433,888 : x
  2. Step 2: Convert to fraction form
    37,254,104/81,433,888 = 81,433,888/x
  3. Step 3: Cross multiply
    37,254,104x = 81,433,888 × 81,433,888
  4. Step 4: Simplify right side
    37,254,104x = 6,631,478,114,796,544
  5. Step 5: Solve for x
    x = 6,631,478,114,796,544/37,254,104
  6. Step 6: Final answer
    x = 178,006,646.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.