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Finding the Third Proportional to 34,293,984 and 73,972,524

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Solution

The third proportional to 34,293,984 and 73,972,524 is: 159,559,598.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,293,984 : 73,972,524 = 73,972,524 : x
  2. Step 2: Convert to fraction form
    34,293,984/73,972,524 = 73,972,524/x
  3. Step 3: Cross multiply
    34,293,984x = 73,972,524 × 73,972,524
  4. Step 4: Simplify right side
    34,293,984x = 5,471,934,306,930,576
  5. Step 5: Solve for x
    x = 5,471,934,306,930,576/34,293,984
  6. Step 6: Final answer
    x = 159,559,598.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.