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Finding the Third Proportional to 31,152,837 and 68,178,426

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Solution

The third proportional to 31,152,837 and 68,178,426 is: 149,209,453.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,152,837 : 68,178,426 = 68,178,426 : x
  2. Step 2: Convert to fraction form
    31,152,837/68,178,426 = 68,178,426/x
  3. Step 3: Cross multiply
    31,152,837x = 68,178,426 × 68,178,426
  4. Step 4: Simplify right side
    31,152,837x = 4,648,297,771,837,476
  5. Step 5: Solve for x
    x = 4,648,297,771,837,476/31,152,837
  6. Step 6: Final answer
    x = 149,209,453.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.