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Finding the Third Proportional to 41,836,402 and 90,395,178

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Solution

The third proportional to 41,836,402 and 90,395,178 is: 195,315,271.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,836,402 : 90,395,178 = 90,395,178 : x
  2. Step 2: Convert to fraction form
    41,836,402/90,395,178 = 90,395,178/x
  3. Step 3: Cross multiply
    41,836,402x = 90,395,178 × 90,395,178
  4. Step 4: Simplify right side
    41,836,402x = 8,171,288,205,651,684
  5. Step 5: Solve for x
    x = 8,171,288,205,651,684/41,836,402
  6. Step 6: Final answer
    x = 195,315,271.27

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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.