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Finding the Third Proportional to 59,541,165 and 127,697,340

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Solution

The third proportional to 59,541,165 and 127,697,340 is: 273,871,205.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,541,165 : 127,697,340 = 127,697,340 : x
  2. Step 2: Convert to fraction form
    59,541,165/127,697,340 = 127,697,340/x
  3. Step 3: Cross multiply
    59,541,165x = 127,697,340 × 127,697,340
  4. Step 4: Simplify right side
    59,541,165x = 16,306,610,643,075,600
  5. Step 5: Solve for x
    x = 16,306,610,643,075,600/59,541,165
  6. Step 6: Final answer
    x = 273,871,205.63

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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.