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Finding the Third Proportional to 14,453,892 and 31,289,397.75

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Solution

The third proportional to 14,453,892 and 31,289,397.75 is: 67,734,449.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,453,892 : 31,289,397.75 = 31,289,397.75 : x
  2. Step 2: Convert to fraction form
    14,453,892/31,289,397.75 = 31,289,397.75/x
  3. Step 3: Cross multiply
    14,453,892x = 31,289,397.75 × 31,289,397.75
  4. Step 4: Simplify right side
    14,453,892x = 979,026,411,557,705
  5. Step 5: Solve for x
    x = 979,026,411,557,705/14,453,892
  6. Step 6: Final answer
    x = 67,734,449.07

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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.