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Finding the Third Proportional to 10,775,578 and 16,730,055

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Solution

The third proportional to 10,775,578 and 16,730,055 is: 25,974,916.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,775,578 : 16,730,055 = 16,730,055 : x
  2. Step 2: Convert to fraction form
    10,775,578/16,730,055 = 16,730,055/x
  3. Step 3: Cross multiply
    10,775,578x = 16,730,055 × 16,730,055
  4. Step 4: Simplify right side
    10,775,578x = 279,894,740,303,025
  5. Step 5: Solve for x
    x = 279,894,740,303,025/10,775,578
  6. Step 6: Final answer
    x = 25,974,916.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.