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Finding the Third Proportional to 3,007,686,342 and 4,597,977,252

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Solution

The third proportional to 3,007,686,342 and 4,597,977,252 is: 7,029,122,190.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,007,686,342 : 4,597,977,252 = 4,597,977,252 : x
  2. Step 2: Convert to fraction form
    3,007,686,342/4,597,977,252 = 4,597,977,252/x
  3. Step 3: Cross multiply
    3,007,686,342x = 4,597,977,252 × 4,597,977,252
  4. Step 4: Simplify right side
    3,007,686,342x = 21,141,394,809,909,473,280
  5. Step 5: Solve for x
    x = 21,141,394,809,909,473,280/3,007,686,342
  6. Step 6: Final answer
    x = 7,029,122,190.93

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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.