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Finding the Third Proportional to 5,780,196.42 and 12,038,585.63

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Solution

The third proportional to 5,780,196.42 and 12,038,585.63 is: 25,073,117.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,780,196.42 : 12,038,585.63 = 12,038,585.63 : x
  2. Step 2: Convert to fraction form
    5,780,196.42/12,038,585.63 = 12,038,585.63/x
  3. Step 3: Cross multiply
    5,780,196.42x = 12,038,585.63 × 12,038,585.63
  4. Step 4: Simplify right side
    5,780,196.42x = 144,927,543,850,456.62
  5. Step 5: Solve for x
    x = 144,927,543,850,456.62/5,780,196.42
  6. Step 6: Final answer
    x = 25,073,117.46

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.