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Finding the Third Proportional to 6,914,447.25 and 14,936,756.25

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Solution

The third proportional to 6,914,447.25 and 14,936,756.25 is: 32,266,742.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,914,447.25 : 14,936,756.25 = 14,936,756.25 : x
  2. Step 2: Convert to fraction form
    6,914,447.25/14,936,756.25 = 14,936,756.25/x
  3. Step 3: Cross multiply
    6,914,447.25x = 14,936,756.25 × 14,936,756.25
  4. Step 4: Simplify right side
    6,914,447.25x = 223,106,687,271,914.06
  5. Step 5: Solve for x
    x = 223,106,687,271,914.06/6,914,447.25
  6. Step 6: Final answer
    x = 32,266,742.26

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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.