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Finding the Third Proportional to 1,835,285,432 and 2,805,593,724

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Solution

The third proportional to 1,835,285,432 and 2,805,593,724 is: 4,288,900,247.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,835,285,432 : 2,805,593,724 = 2,805,593,724 : x
  2. Step 2: Convert to fraction form
    1,835,285,432/2,805,593,724 = 2,805,593,724/x
  3. Step 3: Cross multiply
    1,835,285,432x = 2,805,593,724 × 2,805,593,724
  4. Step 4: Simplify right side
    1,835,285,432x = 7,871,356,144,148,188,160
  5. Step 5: Solve for x
    x = 7,871,356,144,148,188,160/1,835,285,432
  6. Step 6: Final answer
    x = 4,288,900,247.83

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.