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Finding the Third Proportional to 38,191,953 and 78,148,814

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Solution

The third proportional to 38,191,953 and 78,148,814 is: 159,909,003.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,191,953 : 78,148,814 = 78,148,814 : x
  2. Step 2: Convert to fraction form
    38,191,953/78,148,814 = 78,148,814/x
  3. Step 3: Cross multiply
    38,191,953x = 78,148,814 × 78,148,814
  4. Step 4: Simplify right side
    38,191,953x = 6,107,237,129,606,596
  5. Step 5: Solve for x
    x = 6,107,237,129,606,596/38,191,953
  6. Step 6: Final answer
    x = 159,909,003.07

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.