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Finding the Third Proportional to 71,540,038 and 154,964,942

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Solution

The third proportional to 71,540,038 and 154,964,942 is: 335,674,035.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,540,038 : 154,964,942 = 154,964,942 : x
  2. Step 2: Convert to fraction form
    71,540,038/154,964,942 = 154,964,942/x
  3. Step 3: Cross multiply
    71,540,038x = 154,964,942 × 154,964,942
  4. Step 4: Simplify right side
    71,540,038x = 24,014,133,249,063,364
  5. Step 5: Solve for x
    x = 24,014,133,249,063,364/71,540,038
  6. Step 6: Final answer
    x = 335,674,035.41

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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.