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Finding the Third Proportional to 7,570,233.75 and 16,606,084.13

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Solution

The third proportional to 7,570,233.75 and 16,606,084.13 is: 36,427,148.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,570,233.75 : 16,606,084.13 = 16,606,084.13 : x
  2. Step 2: Convert to fraction form
    7,570,233.75/16,606,084.13 = 16,606,084.13/x
  3. Step 3: Cross multiply
    7,570,233.75x = 16,606,084.13 × 16,606,084.13
  4. Step 4: Simplify right side
    7,570,233.75x = 275,762,029,966,577
  5. Step 5: Solve for x
    x = 275,762,029,966,577/7,570,233.75
  6. Step 6: Final answer
    x = 36,427,148.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.