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Finding the Third Proportional to 294,890,880 and 638,851,470

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Solution

The third proportional to 294,890,880 and 638,851,470 is: 1,384,007,537.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,890,880 : 638,851,470 = 638,851,470 : x
  2. Step 2: Convert to fraction form
    294,890,880/638,851,470 = 638,851,470/x
  3. Step 3: Cross multiply
    294,890,880x = 638,851,470 × 638,851,470
  4. Step 4: Simplify right side
    294,890,880x = 408,131,200,721,160,896
  5. Step 5: Solve for x
    x = 408,131,200,721,160,896/294,890,880
  6. Step 6: Final answer
    x = 1,384,007,537.71

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