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Finding the Third Proportional to 5,780,301.75 and 12,590,400.38

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Solution

The third proportional to 5,780,301.75 and 12,590,400.38 is: 27,423,859.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,780,301.75 : 12,590,400.38 = 12,590,400.38 : x
  2. Step 2: Convert to fraction form
    5,780,301.75/12,590,400.38 = 12,590,400.38/x
  3. Step 3: Cross multiply
    5,780,301.75x = 12,590,400.38 × 12,590,400.38
  4. Step 4: Simplify right side
    5,780,301.75x = 158,518,181,602,800.12
  5. Step 5: Solve for x
    x = 158,518,181,602,800.12/5,780,301.75
  6. Step 6: Final answer
    x = 27,423,859.25

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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.