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Finding the Third Proportional to 40,153,296.75 and 54,176,224.50

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Solution

The third proportional to 40,153,296.75 and 54,176,224.50 is: 73,096,446.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,153,296.75 : 54,176,224.50 = 54,176,224.50 : x
  2. Step 2: Convert to fraction form
    40,153,296.75/54,176,224.50 = 54,176,224.50/x
  3. Step 3: Cross multiply
    40,153,296.75x = 54,176,224.50 × 54,176,224.50
  4. Step 4: Simplify right side
    40,153,296.75x = 2,935,063,301,074,400
  5. Step 5: Solve for x
    x = 2,935,063,301,074,400/40,153,296.75
  6. Step 6: Final answer
    x = 73,096,446.34

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.