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Finding the Third Proportional to 5,223,946 and 7,914,926

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Solution

The third proportional to 5,223,946 and 7,914,926 is: 11,992,094.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,223,946 : 7,914,926 = 7,914,926 : x
  2. Step 2: Convert to fraction form
    5,223,946/7,914,926 = 7,914,926/x
  3. Step 3: Cross multiply
    5,223,946x = 7,914,926 × 7,914,926
  4. Step 4: Simplify right side
    5,223,946x = 62,646,053,585,476
  5. Step 5: Solve for x
    x = 62,646,053,585,476/5,223,946
  6. Step 6: Final answer
    x = 11,992,094.40

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.