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Finding the Third Proportional to 7,589,395.41 and 11,658,240.14

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Solution

The third proportional to 7,589,395.41 and 11,658,240.14 is: 17,908,483.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,589,395.41 : 11,658,240.14 = 11,658,240.14 : x
  2. Step 2: Convert to fraction form
    7,589,395.41/11,658,240.14 = 11,658,240.14/x
  3. Step 3: Cross multiply
    7,589,395.41x = 11,658,240.14 × 11,658,240.14
  4. Step 4: Simplify right side
    7,589,395.41x = 135,914,563,176,480.02
  5. Step 5: Solve for x
    x = 135,914,563,176,480.02/7,589,395.41
  6. Step 6: Final answer
    x = 17,908,483.60

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.