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Finding the Third Proportional to 29,500,225.50 and 46,174,968

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Solution

The third proportional to 29,500,225.50 and 46,174,968 is: 72,274,961.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,500,225.50 : 46,174,968 = 46,174,968 : x
  2. Step 2: Convert to fraction form
    29,500,225.50/46,174,968 = 46,174,968/x
  3. Step 3: Cross multiply
    29,500,225.50x = 46,174,968 × 46,174,968
  4. Step 4: Simplify right side
    29,500,225.50x = 2,132,127,669,801,024
  5. Step 5: Solve for x
    x = 2,132,127,669,801,024/29,500,225.50
  6. Step 6: Final answer
    x = 72,274,961.76

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.