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Finding the Third Proportional to 82,048,336 and 175,078,544

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Solution

The third proportional to 82,048,336 and 175,078,544 is: 373,590,715.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,048,336 : 175,078,544 = 175,078,544 : x
  2. Step 2: Convert to fraction form
    82,048,336/175,078,544 = 175,078,544/x
  3. Step 3: Cross multiply
    82,048,336x = 175,078,544 × 175,078,544
  4. Step 4: Simplify right side
    82,048,336x = 30,652,496,569,159,936
  5. Step 5: Solve for x
    x = 30,652,496,569,159,936/82,048,336
  6. Step 6: Final answer
    x = 373,590,715.71

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.