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Finding the Third Proportional to 9,655,453.13 and 13,532,085.28

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Solution

The third proportional to 9,655,453.13 and 13,532,085.28 is: 18,965,172.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,655,453.13 : 13,532,085.28 = 13,532,085.28 : x
  2. Step 2: Convert to fraction form
    9,655,453.13/13,532,085.28 = 13,532,085.28/x
  3. Step 3: Cross multiply
    9,655,453.13x = 13,532,085.28 × 13,532,085.28
  4. Step 4: Simplify right side
    9,655,453.13x = 183,117,332,059,022.91
  5. Step 5: Solve for x
    x = 183,117,332,059,022.91/9,655,453.13
  6. Step 6: Final answer
    x = 18,965,172.29

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.