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Finding the Third Proportional to 256,208,863,356 and 533,623,983,021.76

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Solution

The third proportional to 256,208,863,356 and 533,623,983,021.76 is: 1,111,415,707,973.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,208,863,356 : 533,623,983,021.76 = 533,623,983,021.76 : x
  2. Step 2: Convert to fraction form
    256,208,863,356/533,623,983,021.76 = 533,623,983,021.76/x
  3. Step 3: Cross multiply
    256,208,863,356x = 533,623,983,021.76 × 533,623,983,021.76
  4. Step 4: Simplify right side
    256,208,863,356x = 284,754,555,256,007,626,326,016
  5. Step 5: Solve for x
    x = 284,754,555,256,007,626,326,016/256,208,863,356
  6. Step 6: Final answer
    x = 1,111,415,707,973.94

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.