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Finding the Third Proportional to 34,143,984 and 51,217,272

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Solution

The third proportional to 34,143,984 and 51,217,272 is: 76,827,852.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,143,984 : 51,217,272 = 51,217,272 : x
  2. Step 2: Convert to fraction form
    34,143,984/51,217,272 = 51,217,272/x
  3. Step 3: Cross multiply
    34,143,984x = 51,217,272 × 51,217,272
  4. Step 4: Simplify right side
    34,143,984x = 2,623,208,951,121,984
  5. Step 5: Solve for x
    x = 2,623,208,951,121,984/34,143,984
  6. Step 6: Final answer
    x = 76,827,852.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.