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Finding the Third Proportional to 9,871,284 and 15,255,005

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Solution

The third proportional to 9,871,284 and 15,255,005 is: 23,574,965.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,871,284 : 15,255,005 = 15,255,005 : x
  2. Step 2: Convert to fraction form
    9,871,284/15,255,005 = 15,255,005/x
  3. Step 3: Cross multiply
    9,871,284x = 15,255,005 × 15,255,005
  4. Step 4: Simplify right side
    9,871,284x = 232,715,177,550,025
  5. Step 5: Solve for x
    x = 232,715,177,550,025/9,871,284
  6. Step 6: Final answer
    x = 23,574,965.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.