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Finding the Third Proportional to 3,168,558 and 6,842,164

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Solution

The third proportional to 3,168,558 and 6,842,164 is: 14,774,925.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,168,558 : 6,842,164 = 6,842,164 : x
  2. Step 2: Convert to fraction form
    3,168,558/6,842,164 = 6,842,164/x
  3. Step 3: Cross multiply
    3,168,558x = 6,842,164 × 6,842,164
  4. Step 4: Simplify right side
    3,168,558x = 46,815,208,202,896
  5. Step 5: Solve for x
    x = 46,815,208,202,896/3,168,558
  6. Step 6: Final answer
    x = 14,774,925.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.