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Finding the Third Proportional to 7,708,548,940,632 and 11,662,128,160,704

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Solution

The third proportional to 7,708,548,940,632 and 11,662,128,160,704 is: 17,643,428,650,987.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,708,548,940,632 : 11,662,128,160,704 = 11,662,128,160,704 : x
  2. Step 2: Convert to fraction form
    7,708,548,940,632/11,662,128,160,704 = 11,662,128,160,704/x
  3. Step 3: Cross multiply
    7,708,548,940,632x = 11,662,128,160,704 × 11,662,128,160,704
  4. Step 4: Simplify right side
    7,708,548,940,632x = 136,005,233,236,685,261,459,423,232
  5. Step 5: Solve for x
    x = 136,005,233,236,685,261,459,423,232/7,708,548,940,632
  6. Step 6: Final answer
    x = 17,643,428,650,987.41

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.