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Finding the Third Proportional to 9,495,976,418 and 20,220,112,984

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Solution

The third proportional to 9,495,976,418 and 20,220,112,984 is: 43,055,390,102.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,495,976,418 : 20,220,112,984 = 20,220,112,984 : x
  2. Step 2: Convert to fraction form
    9,495,976,418/20,220,112,984 = 20,220,112,984/x
  3. Step 3: Cross multiply
    9,495,976,418x = 20,220,112,984 × 20,220,112,984
  4. Step 4: Simplify right side
    9,495,976,418x = 408,852,969,085,725,376,512
  5. Step 5: Solve for x
    x = 408,852,969,085,725,376,512/9,495,976,418
  6. Step 6: Final answer
    x = 43,055,390,102.98

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.