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Finding the Third Proportional to 3,007,686,344 and 4,597,977,255

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Solution

The third proportional to 3,007,686,344 and 4,597,977,255 is: 7,029,122,195.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,007,686,344 : 4,597,977,255 = 4,597,977,255 : x
  2. Step 2: Convert to fraction form
    3,007,686,344/4,597,977,255 = 4,597,977,255/x
  3. Step 3: Cross multiply
    3,007,686,344x = 4,597,977,255 × 4,597,977,255
  4. Step 4: Simplify right side
    3,007,686,344x = 21,141,394,837,497,335,808
  5. Step 5: Solve for x
    x = 21,141,394,837,497,335,808/3,007,686,344
  6. Step 6: Final answer
    x = 7,029,122,195.43

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.