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Finding the Third Proportional to 64,630,832 and 141,423,328

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Solution

The third proportional to 64,630,832 and 141,423,328 is: 309,458,459.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,630,832 : 141,423,328 = 141,423,328 : x
  2. Step 2: Convert to fraction form
    64,630,832/141,423,328 = 141,423,328/x
  3. Step 3: Cross multiply
    64,630,832x = 141,423,328 × 141,423,328
  4. Step 4: Simplify right side
    64,630,832x = 20,000,557,702,595,584
  5. Step 5: Solve for x
    x = 20,000,557,702,595,584/64,630,832
  6. Step 6: Final answer
    x = 309,458,459.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.