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Finding the Third Proportional to 1,109,748,571 and 2,414,857,590

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Solution

The third proportional to 1,109,748,571 and 2,414,857,590 is: 5,254,827,383.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109,748,571 : 2,414,857,590 = 2,414,857,590 : x
  2. Step 2: Convert to fraction form
    1,109,748,571/2,414,857,590 = 2,414,857,590/x
  3. Step 3: Cross multiply
    1,109,748,571x = 2,414,857,590 × 2,414,857,590
  4. Step 4: Simplify right side
    1,109,748,571x = 5,831,537,179,980,608,512
  5. Step 5: Solve for x
    x = 5,831,537,179,980,608,512/1,109,748,571
  6. Step 6: Final answer
    x = 5,254,827,383.76

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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.