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Finding the Third Proportional to 53,972,881.50 and 78,935,094.75

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Solution

The third proportional to 53,972,881.50 and 78,935,094.75 is: 115,442,218.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,972,881.50 : 78,935,094.75 = 78,935,094.75 : x
  2. Step 2: Convert to fraction form
    53,972,881.50/78,935,094.75 = 78,935,094.75/x
  3. Step 3: Cross multiply
    53,972,881.50x = 78,935,094.75 × 78,935,094.75
  4. Step 4: Simplify right side
    53,972,881.50x = 6,230,749,183,191,478
  5. Step 5: Solve for x
    x = 6,230,749,183,191,478/53,972,881.50
  6. Step 6: Final answer
    x = 115,442,218.57

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.