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Finding the Third Proportional to 66,425,664 and 143,768,796

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Solution

The third proportional to 66,425,664 and 143,768,796 is: 311,166,881.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,425,664 : 143,768,796 = 143,768,796 : x
  2. Step 2: Convert to fraction form
    66,425,664/143,768,796 = 143,768,796/x
  3. Step 3: Cross multiply
    66,425,664x = 143,768,796 × 143,768,796
  4. Step 4: Simplify right side
    66,425,664x = 20,669,466,703,289,616
  5. Step 5: Solve for x
    x = 20,669,466,703,289,616/66,425,664
  6. Step 6: Final answer
    x = 311,166,881.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.