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Finding the Third Proportional to 3,331,967,936 and 4,875,299,576

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Solution

The third proportional to 3,331,967,936 and 4,875,299,576 is: 7,133,485,799.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,331,967,936 : 4,875,299,576 = 4,875,299,576 : x
  2. Step 2: Convert to fraction form
    3,331,967,936/4,875,299,576 = 4,875,299,576/x
  3. Step 3: Cross multiply
    3,331,967,936x = 4,875,299,576 × 4,875,299,576
  4. Step 4: Simplify right side
    3,331,967,936x = 23,768,545,955,745,779,712
  5. Step 5: Solve for x
    x = 23,768,545,955,745,779,712/3,331,967,936
  6. Step 6: Final answer
    x = 7,133,485,799.47

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.