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Finding the Third Proportional to 13,603,874,638,725 and 29,980,652,250,772

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Solution

The third proportional to 13,603,874,638,725 and 29,980,652,250,772 is: 66,072,316,398,966.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,603,874,638,725 : 29,980,652,250,772 = 29,980,652,250,772 : x
  2. Step 2: Convert to fraction form
    13,603,874,638,725/29,980,652,250,772 = 29,980,652,250,772/x
  3. Step 3: Cross multiply
    13,603,874,638,725x = 29,980,652,250,772 × 29,980,652,250,772
  4. Step 4: Simplify right side
    13,603,874,638,725x = 898,839,509,381,720,204,046,761,984
  5. Step 5: Solve for x
    x = 898,839,509,381,720,204,046,761,984/13,603,874,638,725
  6. Step 6: Final answer
    x = 66,072,316,398,966.94

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Why These Related Problems?

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