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Finding the Third Proportional to 3,101,206 and 6,570,648

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Solution

The third proportional to 3,101,206 and 6,570,648 is: 13,921,492.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,101,206 : 6,570,648 = 6,570,648 : x
  2. Step 2: Convert to fraction form
    3,101,206/6,570,648 = 6,570,648/x
  3. Step 3: Cross multiply
    3,101,206x = 6,570,648 × 6,570,648
  4. Step 4: Simplify right side
    3,101,206x = 43,173,415,139,904
  5. Step 5: Solve for x
    x = 43,173,415,139,904/3,101,206
  6. Step 6: Final answer
    x = 13,921,492.20

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.