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Finding the Third Proportional to 11,937,830.63 and 25,578,969.75

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Solution

The third proportional to 11,937,830.63 and 25,578,969.75 is: 54,807,587.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,937,830.63 : 25,578,969.75 = 25,578,969.75 : x
  2. Step 2: Convert to fraction form
    11,937,830.63/25,578,969.75 = 25,578,969.75/x
  3. Step 3: Cross multiply
    11,937,830.63x = 25,578,969.75 × 25,578,969.75
  4. Step 4: Simplify right side
    11,937,830.63x = 654,283,693,471,415
  5. Step 5: Solve for x
    x = 654,283,693,471,415/11,937,830.63
  6. Step 6: Final answer
    x = 54,807,587.24

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.