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Finding the Third Proportional to 14,490,915 and 31,251,805.50

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Solution

The third proportional to 14,490,915 and 31,251,805.50 is: 67,399,149.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,490,915 : 31,251,805.50 = 31,251,805.50 : x
  2. Step 2: Convert to fraction form
    14,490,915/31,251,805.50 = 31,251,805.50/x
  3. Step 3: Cross multiply
    14,490,915x = 31,251,805.50 × 31,251,805.50
  4. Step 4: Simplify right side
    14,490,915x = 976,675,347,009,830.25
  5. Step 5: Solve for x
    x = 976,675,347,009,830.25/14,490,915
  6. Step 6: Final answer
    x = 67,399,149.54

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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.