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Finding the Third Proportional to 13,497,986.81 and 21,736,205.72

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Solution

The third proportional to 13,497,986.81 and 21,736,205.72 is: 35,002,452.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,497,986.81 : 21,736,205.72 = 21,736,205.72 : x
  2. Step 2: Convert to fraction form
    13,497,986.81/21,736,205.72 = 21,736,205.72/x
  3. Step 3: Cross multiply
    13,497,986.81x = 21,736,205.72 × 21,736,205.72
  4. Step 4: Simplify right side
    13,497,986.81x = 472,462,639,047,820.19
  5. Step 5: Solve for x
    x = 472,462,639,047,820.19/13,497,986.81
  6. Step 6: Final answer
    x = 35,002,452.26

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.