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Finding the Third Proportional to 1,225,054,896 and 1,882,997,360

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Solution

The third proportional to 1,225,054,896 and 1,882,997,360 is: 2,894,302,181.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225,054,896 : 1,882,997,360 = 1,882,997,360 : x
  2. Step 2: Convert to fraction form
    1,225,054,896/1,882,997,360 = 1,882,997,360/x
  3. Step 3: Cross multiply
    1,225,054,896x = 1,882,997,360 × 1,882,997,360
  4. Step 4: Simplify right side
    1,225,054,896x = 3,545,679,057,766,969,344
  5. Step 5: Solve for x
    x = 3,545,679,057,766,969,344/1,225,054,896
  6. Step 6: Final answer
    x = 2,894,302,181.35

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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.