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Finding the Third Proportional to 126,731,884,208 and 268,573,167,486

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Solution

The third proportional to 126,731,884,208 and 268,573,167,486 is: 569,166,526,200.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,731,884,208 : 268,573,167,486 = 268,573,167,486 : x
  2. Step 2: Convert to fraction form
    126,731,884,208/268,573,167,486 = 268,573,167,486/x
  3. Step 3: Cross multiply
    126,731,884,208x = 268,573,167,486 × 268,573,167,486
  4. Step 4: Simplify right side
    126,731,884,208x = 72,131,546,293,463,009,984,512
  5. Step 5: Solve for x
    x = 72,131,546,293,463,009,984,512/126,731,884,208
  6. Step 6: Final answer
    x = 569,166,526,200.12

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.