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Finding the Third Proportional to 5,346,937.13 and 11,546,141.63

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Solution

The third proportional to 5,346,937.13 and 11,546,141.63 is: 24,932,663.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,346,937.13 : 11,546,141.63 = 11,546,141.63 : x
  2. Step 2: Convert to fraction form
    5,346,937.13/11,546,141.63 = 11,546,141.63/x
  3. Step 3: Cross multiply
    5,346,937.13x = 11,546,141.63 × 11,546,141.63
  4. Step 4: Simplify right side
    5,346,937.13x = 133,313,386,424,557.64
  5. Step 5: Solve for x
    x = 133,313,386,424,557.64/5,346,937.13
  6. Step 6: Final answer
    x = 24,932,663.94

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.