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Finding the Third Proportional to 273,046,286 and 601,748,100

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Solution

The third proportional to 273,046,286 and 601,748,100 is: 1,326,151,624.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,046,286 : 601,748,100 = 601,748,100 : x
  2. Step 2: Convert to fraction form
    273,046,286/601,748,100 = 601,748,100/x
  3. Step 3: Cross multiply
    273,046,286x = 601,748,100 × 601,748,100
  4. Step 4: Simplify right side
    273,046,286x = 362,100,775,853,609,984
  5. Step 5: Solve for x
    x = 362,100,775,853,609,984/273,046,286
  6. Step 6: Final answer
    x = 1,326,151,624.91

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.