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Finding the Third Proportional to 76,607,782 and 107,495,883.50

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Solution

The third proportional to 76,607,782 and 107,495,883.50 is: 150,838,004.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,607,782 : 107,495,883.50 = 107,495,883.50 : x
  2. Step 2: Convert to fraction form
    76,607,782/107,495,883.50 = 107,495,883.50/x
  3. Step 3: Cross multiply
    76,607,782x = 107,495,883.50 × 107,495,883.50
  4. Step 4: Simplify right side
    76,607,782x = 11,555,364,969,445,572
  5. Step 5: Solve for x
    x = 11,555,364,969,445,572/76,607,782
  6. Step 6: Final answer
    x = 150,838,004.54

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.