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Finding the Third Proportional to 2,162,601,315 and 3,350,153,412

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Solution

The third proportional to 2,162,601,315 and 3,350,153,412 is: 5,189,827,549.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,162,601,315 : 3,350,153,412 = 3,350,153,412 : x
  2. Step 2: Convert to fraction form
    2,162,601,315/3,350,153,412 = 3,350,153,412/x
  3. Step 3: Cross multiply
    2,162,601,315x = 3,350,153,412 × 3,350,153,412
  4. Step 4: Simplify right side
    2,162,601,315x = 11,223,527,883,935,242,240
  5. Step 5: Solve for x
    x = 11,223,527,883,935,242,240/2,162,601,315
  6. Step 6: Final answer
    x = 5,189,827,549.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.