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Finding the Third Proportional to 64,669,638 and 97,675,863

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Solution

The third proportional to 64,669,638 and 97,675,863 is: 147,527,874.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,669,638 : 97,675,863 = 97,675,863 : x
  2. Step 2: Convert to fraction form
    64,669,638/97,675,863 = 97,675,863/x
  3. Step 3: Cross multiply
    64,669,638x = 97,675,863 × 97,675,863
  4. Step 4: Simplify right side
    64,669,638x = 9,540,574,212,794,768
  5. Step 5: Solve for x
    x = 9,540,574,212,794,768/64,669,638
  6. Step 6: Final answer
    x = 147,527,874.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.