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Finding the Third Proportional to 12,932,345.25 and 21,552,986.25

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Solution

The third proportional to 12,932,345.25 and 21,552,986.25 is: 35,920,106.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,932,345.25 : 21,552,986.25 = 21,552,986.25 : x
  2. Step 2: Convert to fraction form
    12,932,345.25/21,552,986.25 = 21,552,986.25/x
  3. Step 3: Cross multiply
    12,932,345.25x = 21,552,986.25 × 21,552,986.25
  4. Step 4: Simplify right side
    12,932,345.25x = 464,531,216,292,689.06
  5. Step 5: Solve for x
    x = 464,531,216,292,689.06/12,932,345.25
  6. Step 6: Final answer
    x = 35,920,106.32

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.