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Finding the Third Proportional to 13,660,347.69 and 22,303,757.06

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Solution

The third proportional to 13,660,347.69 and 22,303,757.06 is: 36,416,172.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,660,347.69 : 22,303,757.06 = 22,303,757.06 : x
  2. Step 2: Convert to fraction form
    13,660,347.69/22,303,757.06 = 22,303,757.06/x
  3. Step 3: Cross multiply
    13,660,347.69x = 22,303,757.06 × 22,303,757.06
  4. Step 4: Simplify right side
    13,660,347.69x = 497,457,579,103,018.62
  5. Step 5: Solve for x
    x = 497,457,579,103,018.62/13,660,347.69
  6. Step 6: Final answer
    x = 36,416,172.60

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.