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Finding the Third Proportional to 671,319,576 and 1,582,490,844

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Solution

The third proportional to 671,319,576 and 1,582,490,844 is: 3,730,380,225.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    671,319,576 : 1,582,490,844 = 1,582,490,844 : x
  2. Step 2: Convert to fraction form
    671,319,576/1,582,490,844 = 1,582,490,844/x
  3. Step 3: Cross multiply
    671,319,576x = 1,582,490,844 × 1,582,490,844
  4. Step 4: Simplify right side
    671,319,576x = 2,504,277,271,343,832,576
  5. Step 5: Solve for x
    x = 2,504,277,271,343,832,576/671,319,576
  6. Step 6: Final answer
    x = 3,730,380,225.56

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.