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Finding the Third Proportional to 3,168,851 and 6,842,710

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Solution

The third proportional to 3,168,851 and 6,842,710 is: 14,775,917.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,168,851 : 6,842,710 = 6,842,710 : x
  2. Step 2: Convert to fraction form
    3,168,851/6,842,710 = 6,842,710/x
  3. Step 3: Cross multiply
    3,168,851x = 6,842,710 × 6,842,710
  4. Step 4: Simplify right side
    3,168,851x = 46,822,680,144,100
  5. Step 5: Solve for x
    x = 46,822,680,144,100/3,168,851
  6. Step 6: Final answer
    x = 14,775,917.25

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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.