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Finding the Third Proportional to 10,355,969 and 15,533,954

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Solution

The third proportional to 10,355,969 and 15,533,954 is: 23,300,931.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,355,969 : 15,533,954 = 15,533,954 : x
  2. Step 2: Convert to fraction form
    10,355,969/15,533,954 = 15,533,954/x
  3. Step 3: Cross multiply
    10,355,969x = 15,533,954 × 15,533,954
  4. Step 4: Simplify right side
    10,355,969x = 241,303,726,874,116
  5. Step 5: Solve for x
    x = 241,303,726,874,116/10,355,969
  6. Step 6: Final answer
    x = 23,300,931.75

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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.