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Finding the Third Proportional to 64,314,771 and 137,965,890

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Solution

The third proportional to 64,314,771 and 137,965,890 is: 295,959,800.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,314,771 : 137,965,890 = 137,965,890 : x
  2. Step 2: Convert to fraction form
    64,314,771/137,965,890 = 137,965,890/x
  3. Step 3: Cross multiply
    64,314,771x = 137,965,890 × 137,965,890
  4. Step 4: Simplify right side
    64,314,771x = 19,034,586,803,492,100
  5. Step 5: Solve for x
    x = 19,034,586,803,492,100/64,314,771
  6. Step 6: Final answer
    x = 295,959,800.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.