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Finding the Third Proportional to 38,346,167.50 and 53,936,445.50

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Solution

The third proportional to 38,346,167.50 and 53,936,445.50 is: 75,865,212.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,346,167.50 : 53,936,445.50 = 53,936,445.50 : x
  2. Step 2: Convert to fraction form
    38,346,167.50/53,936,445.50 = 53,936,445.50/x
  3. Step 3: Cross multiply
    38,346,167.50x = 53,936,445.50 × 53,936,445.50
  4. Step 4: Simplify right side
    38,346,167.50x = 2,909,140,153,174,470
  5. Step 5: Solve for x
    x = 2,909,140,153,174,470/38,346,167.50
  6. Step 6: Final answer
    x = 75,865,212.69

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.