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Finding the Third Proportional to 64,616,480 and 96,972,024

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Solution

The third proportional to 64,616,480 and 96,972,024 is: 145,529,026.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,616,480 : 96,972,024 = 96,972,024 : x
  2. Step 2: Convert to fraction form
    64,616,480/96,972,024 = 96,972,024/x
  3. Step 3: Cross multiply
    64,616,480x = 96,972,024 × 96,972,024
  4. Step 4: Simplify right side
    64,616,480x = 9,403,573,438,656,576
  5. Step 5: Solve for x
    x = 9,403,573,438,656,576/64,616,480
  6. Step 6: Final answer
    x = 145,529,026.63

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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.