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Finding the Third Proportional to 30,035,954 and 45,133,906

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Solution

The third proportional to 30,035,954 and 45,133,906 is: 67,821,034.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,035,954 : 45,133,906 = 45,133,906 : x
  2. Step 2: Convert to fraction form
    30,035,954/45,133,906 = 45,133,906/x
  3. Step 3: Cross multiply
    30,035,954x = 45,133,906 × 45,133,906
  4. Step 4: Simplify right side
    30,035,954x = 2,037,069,470,816,836
  5. Step 5: Solve for x
    x = 2,037,069,470,816,836/30,035,954
  6. Step 6: Final answer
    x = 67,821,034.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.