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Finding the Third Proportional to 843,827,947.88 and 1,817,260,454.25

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Solution

The third proportional to 843,827,947.88 and 1,817,260,454.25 is: 3,913,636,146.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    843,827,947.88 : 1,817,260,454.25 = 1,817,260,454.25 : x
  2. Step 2: Convert to fraction form
    843,827,947.88/1,817,260,454.25 = 1,817,260,454.25/x
  3. Step 3: Cross multiply
    843,827,947.88x = 1,817,260,454.25 × 1,817,260,454.25
  4. Step 4: Simplify right side
    843,827,947.88x = 3,302,435,558,580,916,224
  5. Step 5: Solve for x
    x = 3,302,435,558,580,916,224/843,827,947.88
  6. Step 6: Final answer
    x = 3,913,636,146.92

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.