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Finding the Third Proportional to 13,686,643.13 and 21,185,138.25

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Solution

The third proportional to 13,686,643.13 and 21,185,138.25 is: 32,791,830.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,686,643.13 : 21,185,138.25 = 21,185,138.25 : x
  2. Step 2: Convert to fraction form
    13,686,643.13/21,185,138.25 = 21,185,138.25/x
  3. Step 3: Cross multiply
    13,686,643.13x = 21,185,138.25 × 21,185,138.25
  4. Step 4: Simplify right side
    13,686,643.13x = 448,810,082,671,613.06
  5. Step 5: Solve for x
    x = 448,810,082,671,613.06/13,686,643.13
  6. Step 6: Final answer
    x = 32,791,830.59

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.