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Finding the Third Proportional to 1,321,956,352.50 and 1,999,936,699.50

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Solution

The third proportional to 1,321,956,352.50 and 1,999,936,699.50 is: 3,025,626,976.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321,956,352.50 : 1,999,936,699.50 = 1,999,936,699.50 : x
  2. Step 2: Convert to fraction form
    1,321,956,352.50/1,999,936,699.50 = 1,999,936,699.50/x
  3. Step 3: Cross multiply
    1,321,956,352.50x = 1,999,936,699.50 × 1,999,936,699.50
  4. Step 4: Simplify right side
    1,321,956,352.50x = 3,999,746,802,006,953,472
  5. Step 5: Solve for x
    x = 3,999,746,802,006,953,472/1,321,956,352.50
  6. Step 6: Final answer
    x = 3,025,626,976.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.