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Finding the Third Proportional to 30,900,976,705 and 66,273,016,442

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Solution

The third proportional to 30,900,976,705 and 66,273,016,442 is: 142,135,077,161.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,900,976,705 : 66,273,016,442 = 66,273,016,442 : x
  2. Step 2: Convert to fraction form
    30,900,976,705/66,273,016,442 = 66,273,016,442/x
  3. Step 3: Cross multiply
    30,900,976,705x = 66,273,016,442 × 66,273,016,442
  4. Step 4: Simplify right side
    30,900,976,705x = 4,392,112,708,321,602,437,120
  5. Step 5: Solve for x
    x = 4,392,112,708,321,602,437,120/30,900,976,705
  6. Step 6: Final answer
    x = 142,135,077,161.20

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.