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Finding the Third Proportional to 273,046,284 and 601,748,096

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Solution

The third proportional to 273,046,284 and 601,748,096 is: 1,326,151,616.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,046,284 : 601,748,096 = 601,748,096 : x
  2. Step 2: Convert to fraction form
    273,046,284/601,748,096 = 601,748,096/x
  3. Step 3: Cross multiply
    273,046,284x = 601,748,096 × 601,748,096
  4. Step 4: Simplify right side
    273,046,284x = 362,100,771,039,625,216
  5. Step 5: Solve for x
    x = 362,100,771,039,625,216/273,046,284
  6. Step 6: Final answer
    x = 1,326,151,616.99

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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.