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Finding the Third Proportional to 1,095,033,828 and 2,434,894,368

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Solution

The third proportional to 1,095,033,828 and 2,434,894,368 is: 5,414,180,303.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095,033,828 : 2,434,894,368 = 2,434,894,368 : x
  2. Step 2: Convert to fraction form
    1,095,033,828/2,434,894,368 = 2,434,894,368/x
  3. Step 3: Cross multiply
    1,095,033,828x = 2,434,894,368 × 2,434,894,368
  4. Step 4: Simplify right side
    1,095,033,828x = 5,928,710,583,318,119,424
  5. Step 5: Solve for x
    x = 5,928,710,583,318,119,424/1,095,033,828
  6. Step 6: Final answer
    x = 5,414,180,303.59

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.