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Finding the Third Proportional to 9,958,299.75 and 21,429,963

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Solution

The third proportional to 9,958,299.75 and 21,429,963 is: 46,116,638.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,958,299.75 : 21,429,963 = 21,429,963 : x
  2. Step 2: Convert to fraction form
    9,958,299.75/21,429,963 = 21,429,963/x
  3. Step 3: Cross multiply
    9,958,299.75x = 21,429,963 × 21,429,963
  4. Step 4: Simplify right side
    9,958,299.75x = 459,243,314,181,369
  5. Step 5: Solve for x
    x = 459,243,314,181,369/9,958,299.75
  6. Step 6: Final answer
    x = 46,116,638.96

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.