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Finding the Third Proportional to 389,705,925 and 848,015,794.50

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Solution

The third proportional to 389,705,925 and 848,015,794.50 is: 1,845,316,536.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,705,925 : 848,015,794.50 = 848,015,794.50 : x
  2. Step 2: Convert to fraction form
    389,705,925/848,015,794.50 = 848,015,794.50/x
  3. Step 3: Cross multiply
    389,705,925x = 848,015,794.50 × 848,015,794.50
  4. Step 4: Simplify right side
    389,705,925x = 719,130,787,721,466,240
  5. Step 5: Solve for x
    x = 719,130,787,721,466,240/389,705,925
  6. Step 6: Final answer
    x = 1,845,316,536.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.