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Finding the Third Proportional to 6,875,660 and 14,570,926

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Solution

The third proportional to 6,875,660 and 14,570,926 is: 30,878,764.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,875,660 : 14,570,926 = 14,570,926 : x
  2. Step 2: Convert to fraction form
    6,875,660/14,570,926 = 14,570,926/x
  3. Step 3: Cross multiply
    6,875,660x = 14,570,926 × 14,570,926
  4. Step 4: Simplify right side
    6,875,660x = 212,311,884,497,476
  5. Step 5: Solve for x
    x = 212,311,884,497,476/6,875,660
  6. Step 6: Final answer
    x = 30,878,764.29

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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.