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Finding the Third Proportional to 2,361,071,024 and 3,528,593,400

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Solution

The third proportional to 2,361,071,024 and 3,528,593,400 is: 5,273,442,118.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,361,071,024 : 3,528,593,400 = 3,528,593,400 : x
  2. Step 2: Convert to fraction form
    2,361,071,024/3,528,593,400 = 3,528,593,400/x
  3. Step 3: Cross multiply
    2,361,071,024x = 3,528,593,400 × 3,528,593,400
  4. Step 4: Simplify right side
    2,361,071,024x = 12,450,971,382,523,559,936
  5. Step 5: Solve for x
    x = 12,450,971,382,523,559,936/2,361,071,024
  6. Step 6: Final answer
    x = 5,273,442,118.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.