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Finding the Third Proportional to 10,355,971 and 15,533,957

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Solution

The third proportional to 10,355,971 and 15,533,957 is: 23,300,936.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,355,971 : 15,533,957 = 15,533,957 : x
  2. Step 2: Convert to fraction form
    10,355,971/15,533,957 = 15,533,957/x
  3. Step 3: Cross multiply
    10,355,971x = 15,533,957 × 15,533,957
  4. Step 4: Simplify right side
    10,355,971x = 241,303,820,077,849
  5. Step 5: Solve for x
    x = 241,303,820,077,849/10,355,971
  6. Step 6: Final answer
    x = 23,300,936.25

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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.