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Finding the Third Proportional to 71,184,384 and 155,416,896

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Solution

The third proportional to 71,184,384 and 155,416,896 is: 339,321,775.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,184,384 : 155,416,896 = 155,416,896 : x
  2. Step 2: Convert to fraction form
    71,184,384/155,416,896 = 155,416,896/x
  3. Step 3: Cross multiply
    71,184,384x = 155,416,896 × 155,416,896
  4. Step 4: Simplify right side
    71,184,384x = 24,154,411,562,274,816
  5. Step 5: Solve for x
    x = 24,154,411,562,274,816/71,184,384
  6. Step 6: Final answer
    x = 339,321,775.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.