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Finding the Third Proportional to 2,914,312,645.97 and 4,476,740,693.63

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Solution

The third proportional to 2,914,312,645.97 and 4,476,740,693.63 is: 6,876,821,286.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,914,312,645.97 : 4,476,740,693.63 = 4,476,740,693.63 : x
  2. Step 2: Convert to fraction form
    2,914,312,645.97/4,476,740,693.63 = 4,476,740,693.63/x
  3. Step 3: Cross multiply
    2,914,312,645.97x = 4,476,740,693.63 × 4,476,740,693.63
  4. Step 4: Simplify right side
    2,914,312,645.97x = 20,041,207,237,958,045,696
  5. Step 5: Solve for x
    x = 20,041,207,237,958,045,696/2,914,312,645.97
  6. Step 6: Final answer
    x = 6,876,821,286.03

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.