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Finding the Third Proportional to 385,035,844.50 and 840,628,703.25

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Solution

The third proportional to 385,035,844.50 and 840,628,703.25 is: 1,835,300,860.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,035,844.50 : 840,628,703.25 = 840,628,703.25 : x
  2. Step 2: Convert to fraction form
    385,035,844.50/840,628,703.25 = 840,628,703.25/x
  3. Step 3: Cross multiply
    385,035,844.50x = 840,628,703.25 × 840,628,703.25
  4. Step 4: Simplify right side
    385,035,844.50x = 706,656,616,727,776,512
  5. Step 5: Solve for x
    x = 706,656,616,727,776,512/385,035,844.50
  6. Step 6: Final answer
    x = 1,835,300,860.48

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