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Finding the Third Proportional to 274,871,520 and 589,090,068

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Solution

The third proportional to 274,871,520 and 589,090,068 is: 1,262,506,600.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,871,520 : 589,090,068 = 589,090,068 : x
  2. Step 2: Convert to fraction form
    274,871,520/589,090,068 = 589,090,068/x
  3. Step 3: Cross multiply
    274,871,520x = 589,090,068 × 589,090,068
  4. Step 4: Simplify right side
    274,871,520x = 347,027,108,216,244,608
  5. Step 5: Solve for x
    x = 347,027,108,216,244,608/274,871,520
  6. Step 6: Final answer
    x = 1,262,506,600.23

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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.