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Finding the Third Proportional to 3,168,570 and 6,842,229

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Solution

The third proportional to 3,168,570 and 6,842,229 is: 14,775,150.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,168,570 : 6,842,229 = 6,842,229 : x
  2. Step 2: Convert to fraction form
    3,168,570/6,842,229 = 6,842,229/x
  3. Step 3: Cross multiply
    3,168,570x = 6,842,229 × 6,842,229
  4. Step 4: Simplify right side
    3,168,570x = 46,816,097,688,441
  5. Step 5: Solve for x
    x = 46,816,097,688,441/3,168,570
  6. Step 6: Final answer
    x = 14,775,150.21

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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.