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Finding the Third Proportional to 24,648,589 and 53,194,358

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Solution

The third proportional to 24,648,589 and 53,194,358 is: 114,799,257.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,648,589 : 53,194,358 = 53,194,358 : x
  2. Step 2: Convert to fraction form
    24,648,589/53,194,358 = 53,194,358/x
  3. Step 3: Cross multiply
    24,648,589x = 53,194,358 × 53,194,358
  4. Step 4: Simplify right side
    24,648,589x = 2,829,639,723,032,164
  5. Step 5: Solve for x
    x = 2,829,639,723,032,164/24,648,589
  6. Step 6: Final answer
    x = 114,799,257.80

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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.