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Finding the Third Proportional to 634,550,378,779.50 and 1,393,759,888,927.50

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Solution

The third proportional to 634,550,378,779.50 and 1,393,759,888,927.50 is: 3,061,327,662,776.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,550,378,779.50 : 1,393,759,888,927.50 = 1,393,759,888,927.50 : x
  2. Step 2: Convert to fraction form
    634,550,378,779.50/1,393,759,888,927.50 = 1,393,759,888,927.50/x
  3. Step 3: Cross multiply
    634,550,378,779.50x = 1,393,759,888,927.50 × 1,393,759,888,927.50
  4. Step 4: Simplify right side
    634,550,378,779.50x = 1,942,566,627,983,197,017,735,168
  5. Step 5: Solve for x
    x = 1,942,566,627,983,197,017,735,168/634,550,378,779.50
  6. Step 6: Final answer
    x = 3,061,327,662,776.83

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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.