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Finding the Third Proportional to 1,225,054,904 and 1,882,997,372

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Solution

The third proportional to 1,225,054,904 and 1,882,997,372 is: 2,894,302,199.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225,054,904 : 1,882,997,372 = 1,882,997,372 : x
  2. Step 2: Convert to fraction form
    1,225,054,904/1,882,997,372 = 1,882,997,372/x
  3. Step 3: Cross multiply
    1,225,054,904x = 1,882,997,372 × 1,882,997,372
  4. Step 4: Simplify right side
    1,225,054,904x = 3,545,679,102,958,906,368
  5. Step 5: Solve for x
    x = 3,545,679,102,958,906,368/1,225,054,904
  6. Step 6: Final answer
    x = 2,894,302,199.34

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.