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Finding the Third Proportional to 39,562,576 and 83,376,032

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Solution

The third proportional to 39,562,576 and 83,376,032 is: 175,710,568.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,562,576 : 83,376,032 = 83,376,032 : x
  2. Step 2: Convert to fraction form
    39,562,576/83,376,032 = 83,376,032/x
  3. Step 3: Cross multiply
    39,562,576x = 83,376,032 × 83,376,032
  4. Step 4: Simplify right side
    39,562,576x = 6,951,562,712,065,024
  5. Step 5: Solve for x
    x = 6,951,562,712,065,024/39,562,576
  6. Step 6: Final answer
    x = 175,710,568.29

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.