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Finding the Third Proportional to 59,541,168 and 127,697,346

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Solution

The third proportional to 59,541,168 and 127,697,346 is: 273,871,217.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,541,168 : 127,697,346 = 127,697,346 : x
  2. Step 2: Convert to fraction form
    59,541,168/127,697,346 = 127,697,346/x
  3. Step 3: Cross multiply
    59,541,168x = 127,697,346 × 127,697,346
  4. Step 4: Simplify right side
    59,541,168x = 16,306,612,175,443,716
  5. Step 5: Solve for x
    x = 16,306,612,175,443,716/59,541,168
  6. Step 6: Final answer
    x = 273,871,217.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.