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Finding the Third Proportional to 53,294,475 and 114,672,102

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Solution

The third proportional to 53,294,475 and 114,672,102 is: 246,736,476.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,294,475 : 114,672,102 = 114,672,102 : x
  2. Step 2: Convert to fraction form
    53,294,475/114,672,102 = 114,672,102/x
  3. Step 3: Cross multiply
    53,294,475x = 114,672,102 × 114,672,102
  4. Step 4: Simplify right side
    53,294,475x = 13,149,690,977,098,404
  5. Step 5: Solve for x
    x = 13,149,690,977,098,404/53,294,475
  6. Step 6: Final answer
    x = 246,736,476.48

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.