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Finding the Third Proportional to 2,323,471.50 and 5,032,948.50

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Solution

The third proportional to 2,323,471.50 and 5,032,948.50 is: 10,902,036.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,323,471.50 : 5,032,948.50 = 5,032,948.50 : x
  2. Step 2: Convert to fraction form
    2,323,471.50/5,032,948.50 = 5,032,948.50/x
  3. Step 3: Cross multiply
    2,323,471.50x = 5,032,948.50 × 5,032,948.50
  4. Step 4: Simplify right side
    2,323,471.50x = 25,330,570,603,652.25
  5. Step 5: Solve for x
    x = 25,330,570,603,652.25/2,323,471.50
  6. Step 6: Final answer
    x = 10,902,036.29

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.