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Finding the Third Proportional to 1,874,731,968 and 4,082,745,312

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Solution

The third proportional to 1,874,731,968 and 4,082,745,312 is: 8,891,302,632.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,874,731,968 : 4,082,745,312 = 4,082,745,312 : x
  2. Step 2: Convert to fraction form
    1,874,731,968/4,082,745,312 = 4,082,745,312/x
  3. Step 3: Cross multiply
    1,874,731,968x = 4,082,745,312 × 4,082,745,312
  4. Step 4: Simplify right side
    1,874,731,968x = 16,668,809,282,657,976,320
  5. Step 5: Solve for x
    x = 16,668,809,282,657,976,320/1,874,731,968
  6. Step 6: Final answer
    x = 8,891,302,632.69

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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.