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Finding the Third Proportional to 64,616,482 and 96,972,027

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Solution

The third proportional to 64,616,482 and 96,972,027 is: 145,529,031.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,616,482 : 96,972,027 = 96,972,027 : x
  2. Step 2: Convert to fraction form
    64,616,482/96,972,027 = 96,972,027/x
  3. Step 3: Cross multiply
    64,616,482x = 96,972,027 × 96,972,027
  4. Step 4: Simplify right side
    64,616,482x = 9,403,574,020,488,728
  5. Step 5: Solve for x
    x = 9,403,574,020,488,728/64,616,482
  6. Step 6: Final answer
    x = 145,529,031.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.