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Finding the Third Proportional to 14,406,657.75 and 31,446,123.75

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Solution

The third proportional to 14,406,657.75 and 31,446,123.75 is: 68,639,008.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,406,657.75 : 31,446,123.75 = 31,446,123.75 : x
  2. Step 2: Convert to fraction form
    14,406,657.75/31,446,123.75 = 31,446,123.75/x
  3. Step 3: Cross multiply
    14,406,657.75x = 31,446,123.75 × 31,446,123.75
  4. Step 4: Simplify right side
    14,406,657.75x = 988,858,698,900,314
  5. Step 5: Solve for x
    x = 988,858,698,900,314/14,406,657.75
  6. Step 6: Final answer
    x = 68,639,008.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.