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Finding the Third Proportional to 7,652,179,045,456 and 16,864,115,888,384

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Solution

The third proportional to 7,652,179,045,456 and 16,864,115,888,384 is: 37,165,675,686,290.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,652,179,045,456 : 16,864,115,888,384 = 16,864,115,888,384 : x
  2. Step 2: Convert to fraction form
    7,652,179,045,456/16,864,115,888,384 = 16,864,115,888,384/x
  3. Step 3: Cross multiply
    7,652,179,045,456x = 16,864,115,888,384 × 16,864,115,888,384
  4. Step 4: Simplify right side
    7,652,179,045,456x = 284,398,404,696,845,683,922,042,880
  5. Step 5: Solve for x
    x = 284,398,404,696,845,683,922,042,880/7,652,179,045,456
  6. Step 6: Final answer
    x = 37,165,675,686,290.50

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.