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Finding the Third Proportional to 130,586,559 and 285,046,410

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Solution

The third proportional to 130,586,559 and 285,046,410 is: 622,203,820.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,586,559 : 285,046,410 = 285,046,410 : x
  2. Step 2: Convert to fraction form
    130,586,559/285,046,410 = 285,046,410/x
  3. Step 3: Cross multiply
    130,586,559x = 285,046,410 × 285,046,410
  4. Step 4: Simplify right side
    130,586,559x = 81,251,455,853,888,096
  5. Step 5: Solve for x
    x = 81,251,455,853,888,096/130,586,559
  6. Step 6: Final answer
    x = 622,203,820.03

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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.