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Finding the Third Proportional to 3,153,346 and 6,917,120

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Solution

The third proportional to 3,153,346 and 6,917,120 is: 15,173,263.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,153,346 : 6,917,120 = 6,917,120 : x
  2. Step 2: Convert to fraction form
    3,153,346/6,917,120 = 6,917,120/x
  3. Step 3: Cross multiply
    3,153,346x = 6,917,120 × 6,917,120
  4. Step 4: Simplify right side
    3,153,346x = 47,846,549,094,400
  5. Step 5: Solve for x
    x = 47,846,549,094,400/3,153,346
  6. Step 6: Final answer
    x = 15,173,263.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.