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Finding the Third Proportional to 19,736,101,680 and 43,088,799,512

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Solution

The third proportional to 19,736,101,680 and 43,088,799,512 is: 94,073,524,421.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,736,101,680 : 43,088,799,512 = 43,088,799,512 : x
  2. Step 2: Convert to fraction form
    19,736,101,680/43,088,799,512 = 43,088,799,512/x
  3. Step 3: Cross multiply
    19,736,101,680x = 43,088,799,512 × 43,088,799,512
  4. Step 4: Simplify right side
    19,736,101,680x = 1,856,644,643,385,331,417,088
  5. Step 5: Solve for x
    x = 1,856,644,643,385,331,417,088/19,736,101,680
  6. Step 6: Final answer
    x = 94,073,524,421.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.