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Finding the Third Proportional to 27,658,164 and 40,590,274

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Solution

The third proportional to 27,658,164 and 40,590,274 is: 59,569,042.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,658,164 : 40,590,274 = 40,590,274 : x
  2. Step 2: Convert to fraction form
    27,658,164/40,590,274 = 40,590,274/x
  3. Step 3: Cross multiply
    27,658,164x = 40,590,274 × 40,590,274
  4. Step 4: Simplify right side
    27,658,164x = 1,647,570,343,395,076
  5. Step 5: Solve for x
    x = 1,647,570,343,395,076/27,658,164
  6. Step 6: Final answer
    x = 59,569,042.38

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.