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Finding the Third Proportional to 24,648,735 and 53,194,623

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Solution

The third proportional to 24,648,735 and 53,194,623 is: 114,799,721.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,648,735 : 53,194,623 = 53,194,623 : x
  2. Step 2: Convert to fraction form
    24,648,735/53,194,623 = 53,194,623/x
  3. Step 3: Cross multiply
    24,648,735x = 53,194,623 × 53,194,623
  4. Step 4: Simplify right side
    24,648,735x = 2,829,667,916,112,129
  5. Step 5: Solve for x
    x = 2,829,667,916,112,129/24,648,735
  6. Step 6: Final answer
    x = 114,799,721.61

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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.