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Finding the Third Proportional to 4,670,294,838 and 10,153,503,084

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Solution

The third proportional to 4,670,294,838 and 10,153,503,084 is: 22,074,329,020.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,670,294,838 : 10,153,503,084 = 10,153,503,084 : x
  2. Step 2: Convert to fraction form
    4,670,294,838/10,153,503,084 = 10,153,503,084/x
  3. Step 3: Cross multiply
    4,670,294,838x = 10,153,503,084 × 10,153,503,084
  4. Step 4: Simplify right side
    4,670,294,838x = 103,093,624,876,797,509,632
  5. Step 5: Solve for x
    x = 103,093,624,876,797,509,632/4,670,294,838
  6. Step 6: Final answer
    x = 22,074,329,020.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.