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Finding the Third Proportional to 47,208,199,364 and 96,312,747,804

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Solution

The third proportional to 47,208,199,364 and 96,312,747,804 is: 196,494,369,929.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,208,199,364 : 96,312,747,804 = 96,312,747,804 : x
  2. Step 2: Convert to fraction form
    47,208,199,364/96,312,747,804 = 96,312,747,804/x
  3. Step 3: Cross multiply
    47,208,199,364x = 96,312,747,804 × 96,312,747,804
  4. Step 4: Simplify right side
    47,208,199,364x = 9,276,145,389,556,907,114,496
  5. Step 5: Solve for x
    x = 9,276,145,389,556,907,114,496/47,208,199,364
  6. Step 6: Final answer
    x = 196,494,369,929.96

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.