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Finding the Third Proportional to 71,540,038 and 154,964,941

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Solution

The third proportional to 71,540,038 and 154,964,941 is: 335,674,031.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,540,038 : 154,964,941 = 154,964,941 : x
  2. Step 2: Convert to fraction form
    71,540,038/154,964,941 = 154,964,941/x
  3. Step 3: Cross multiply
    71,540,038x = 154,964,941 × 154,964,941
  4. Step 4: Simplify right side
    71,540,038x = 24,014,132,939,133,480
  5. Step 5: Solve for x
    x = 24,014,132,939,133,480/71,540,038
  6. Step 6: Final answer
    x = 335,674,031.08

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.