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Finding the Third Proportional to 5,780,305.50 and 12,590,407.50

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Solution

The third proportional to 5,780,305.50 and 12,590,407.50 is: 27,423,872.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,780,305.50 : 12,590,407.50 = 12,590,407.50 : x
  2. Step 2: Convert to fraction form
    5,780,305.50/12,590,407.50 = 12,590,407.50/x
  3. Step 3: Cross multiply
    5,780,305.50x = 12,590,407.50 × 12,590,407.50
  4. Step 4: Simplify right side
    5,780,305.50x = 158,518,361,016,056.25
  5. Step 5: Solve for x
    x = 158,518,361,016,056.25/5,780,305.50
  6. Step 6: Final answer
    x = 27,423,872.50

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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.