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Finding the Third Proportional to 14,650,713.75 and 21,537,577.13

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Solution

The third proportional to 14,650,713.75 and 21,537,577.13 is: 31,661,749.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,650,713.75 : 21,537,577.13 = 21,537,577.13 : x
  2. Step 2: Convert to fraction form
    14,650,713.75/21,537,577.13 = 21,537,577.13/x
  3. Step 3: Cross multiply
    14,650,713.75x = 21,537,577.13 × 21,537,577.13
  4. Step 4: Simplify right side
    14,650,713.75x = 463,867,228,415,323.25
  5. Step 5: Solve for x
    x = 463,867,228,415,323.25/14,650,713.75
  6. Step 6: Final answer
    x = 31,661,749.48

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.