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Finding the Third Proportional to 27,465,948 and 38,401,482

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Solution

The third proportional to 27,465,948 and 38,401,482 is: 53,690,985.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,465,948 : 38,401,482 = 38,401,482 : x
  2. Step 2: Convert to fraction form
    27,465,948/38,401,482 = 38,401,482/x
  3. Step 3: Cross multiply
    27,465,948x = 38,401,482 × 38,401,482
  4. Step 4: Simplify right side
    27,465,948x = 1,474,673,819,796,324
  5. Step 5: Solve for x
    x = 1,474,673,819,796,324/27,465,948
  6. Step 6: Final answer
    x = 53,690,985.65

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.