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Finding the Third Proportional to 6,875,710 and 14,571,014

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Solution

The third proportional to 6,875,710 and 14,571,014 is: 30,878,912.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,875,710 : 14,571,014 = 14,571,014 : x
  2. Step 2: Convert to fraction form
    6,875,710/14,571,014 = 14,571,014/x
  3. Step 3: Cross multiply
    6,875,710x = 14,571,014 × 14,571,014
  4. Step 4: Simplify right side
    6,875,710x = 212,314,448,988,196
  5. Step 5: Solve for x
    x = 212,314,448,988,196/6,875,710
  6. Step 6: Final answer
    x = 30,878,912.72

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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.