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Finding the Third Proportional to 17,080,124,752,890 and 26,019,805,304,763

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Solution

The third proportional to 17,080,124,752,890 and 26,019,805,304,763 is: 39,638,484,957,975.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,080,124,752,890 : 26,019,805,304,763 = 26,019,805,304,763 : x
  2. Step 2: Convert to fraction form
    17,080,124,752,890/26,019,805,304,763 = 26,019,805,304,763/x
  3. Step 3: Cross multiply
    17,080,124,752,890x = 26,019,805,304,763 × 26,019,805,304,763
  4. Step 4: Simplify right side
    17,080,124,752,890x = 677,030,268,097,772,774,009,864,192
  5. Step 5: Solve for x
    x = 677,030,268,097,772,774,009,864,192/17,080,124,752,890
  6. Step 6: Final answer
    x = 39,638,484,957,975.35

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.