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Finding the Third Proportional to 13,603,874,638,732 and 29,980,652,250,788

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Solution

The third proportional to 13,603,874,638,732 and 29,980,652,250,788 is: 66,072,316,399,003.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,603,874,638,732 : 29,980,652,250,788 = 29,980,652,250,788 : x
  2. Step 2: Convert to fraction form
    13,603,874,638,732/29,980,652,250,788 = 29,980,652,250,788/x
  3. Step 3: Cross multiply
    13,603,874,638,732x = 29,980,652,250,788 × 29,980,652,250,788
  4. Step 4: Simplify right side
    13,603,874,638,732x = 898,839,509,382,679,527,941,996,544
  5. Step 5: Solve for x
    x = 898,839,509,382,679,527,941,996,544/13,603,874,638,732
  6. Step 6: Final answer
    x = 66,072,316,399,003.45

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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.