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Finding the Third Proportional to 1,787,769,671.63 and 3,848,766,275.25

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Solution

The third proportional to 1,787,769,671.63 and 3,848,766,275.25 is: 8,285,744,006.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,787,769,671.63 : 3,848,766,275.25 = 3,848,766,275.25 : x
  2. Step 2: Convert to fraction form
    1,787,769,671.63/3,848,766,275.25 = 3,848,766,275.25/x
  3. Step 3: Cross multiply
    1,787,769,671.63x = 3,848,766,275.25 × 3,848,766,275.25
  4. Step 4: Simplify right side
    1,787,769,671.63x = 14,813,001,841,501,759,488
  5. Step 5: Solve for x
    x = 14,813,001,841,501,759,488/1,787,769,671.63
  6. Step 6: Final answer
    x = 8,285,744,006.41

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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.