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Finding the Third Proportional to 5,759,641.50 and 12,374,029.50

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Solution

The third proportional to 5,759,641.50 and 12,374,029.50 is: 26,584,398.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,759,641.50 : 12,374,029.50 = 12,374,029.50 : x
  2. Step 2: Convert to fraction form
    5,759,641.50/12,374,029.50 = 12,374,029.50/x
  3. Step 3: Cross multiply
    5,759,641.50x = 12,374,029.50 × 12,374,029.50
  4. Step 4: Simplify right side
    5,759,641.50x = 153,116,606,066,870.25
  5. Step 5: Solve for x
    x = 153,116,606,066,870.25/5,759,641.50
  6. Step 6: Final answer
    x = 26,584,398.71

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.