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Finding the Third Proportional to 4,924,266 and 7,564,275

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Solution

The third proportional to 4,924,266 and 7,564,275 is: 11,619,651.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,924,266 : 7,564,275 = 7,564,275 : x
  2. Step 2: Convert to fraction form
    4,924,266/7,564,275 = 7,564,275/x
  3. Step 3: Cross multiply
    4,924,266x = 7,564,275 × 7,564,275
  4. Step 4: Simplify right side
    4,924,266x = 57,218,256,275,625
  5. Step 5: Solve for x
    x = 57,218,256,275,625/4,924,266
  6. Step 6: Final answer
    x = 11,619,651.80

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.