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Finding the Third Proportional to 29,500,225 and 46,174,967.50

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Solution

The third proportional to 29,500,225 and 46,174,967.50 is: 72,274,961.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,500,225 : 46,174,967.50 = 46,174,967.50 : x
  2. Step 2: Convert to fraction form
    29,500,225/46,174,967.50 = 46,174,967.50/x
  3. Step 3: Cross multiply
    29,500,225x = 46,174,967.50 × 46,174,967.50
  4. Step 4: Simplify right side
    29,500,225x = 2,132,127,623,626,056.25
  5. Step 5: Solve for x
    x = 2,132,127,623,626,056.25/29,500,225
  6. Step 6: Final answer
    x = 72,274,961.42

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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.