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Finding the Third Proportional to 2,371,848.75 and 5,200,780.50

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Solution

The third proportional to 2,371,848.75 and 5,200,780.50 is: 11,403,812.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,371,848.75 : 5,200,780.50 = 5,200,780.50 : x
  2. Step 2: Convert to fraction form
    2,371,848.75/5,200,780.50 = 5,200,780.50/x
  3. Step 3: Cross multiply
    2,371,848.75x = 5,200,780.50 × 5,200,780.50
  4. Step 4: Simplify right side
    2,371,848.75x = 27,048,117,809,180.25
  5. Step 5: Solve for x
    x = 27,048,117,809,180.25/2,371,848.75
  6. Step 6: Final answer
    x = 11,403,812.24

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.