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Finding the Third Proportional to 31,513,424 and 68,548,312

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Solution

The third proportional to 31,513,424 and 68,548,312 is: 149,106,967.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,513,424 : 68,548,312 = 68,548,312 : x
  2. Step 2: Convert to fraction form
    31,513,424/68,548,312 = 68,548,312/x
  3. Step 3: Cross multiply
    31,513,424x = 68,548,312 × 68,548,312
  4. Step 4: Simplify right side
    31,513,424x = 4,698,871,078,049,344
  5. Step 5: Solve for x
    x = 4,698,871,078,049,344/31,513,424
  6. Step 6: Final answer
    x = 149,106,967.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.