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Finding the Third Proportional to 33,238,953 and 51,059,101.50

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Solution

The third proportional to 33,238,953 and 51,059,101.50 is: 78,433,031.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,238,953 : 51,059,101.50 = 51,059,101.50 : x
  2. Step 2: Convert to fraction form
    33,238,953/51,059,101.50 = 51,059,101.50/x
  3. Step 3: Cross multiply
    33,238,953x = 51,059,101.50 × 51,059,101.50
  4. Step 4: Simplify right side
    33,238,953x = 2,607,031,845,987,302
  5. Step 5: Solve for x
    x = 2,607,031,845,987,302/33,238,953
  6. Step 6: Final answer
    x = 78,433,031.45

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.