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Finding the Third Proportional to 409,900,943,307.93 and 901,780,641,573.75

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Solution

The third proportional to 409,900,943,307.93 and 901,780,641,573.75 is: 1,983,914,257,319.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,900,943,307.93 : 901,780,641,573.75 = 901,780,641,573.75 : x
  2. Step 2: Convert to fraction form
    409,900,943,307.93/901,780,641,573.75 = 901,780,641,573.75/x
  3. Step 3: Cross multiply
    409,900,943,307.93x = 901,780,641,573.75 × 901,780,641,573.75
  4. Step 4: Simplify right side
    409,900,943,307.93x = 813,208,325,517,164,203,212,800
  5. Step 5: Solve for x
    x = 813,208,325,517,164,203,212,800/409,900,943,307.93
  6. Step 6: Final answer
    x = 1,983,914,257,319.13

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.