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Finding the Third Proportional to 2,144,368,872 and 4,668,451,888

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Solution

The third proportional to 2,144,368,872 and 4,668,451,888 is: 10,163,569,950.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,144,368,872 : 4,668,451,888 = 4,668,451,888 : x
  2. Step 2: Convert to fraction form
    2,144,368,872/4,668,451,888 = 4,668,451,888/x
  3. Step 3: Cross multiply
    2,144,368,872x = 4,668,451,888 × 4,668,451,888
  4. Step 4: Simplify right side
    2,144,368,872x = 21,794,443,030,570,766,336
  5. Step 5: Solve for x
    x = 21,794,443,030,570,766,336/2,144,368,872
  6. Step 6: Final answer
    x = 10,163,569,950.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.