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Finding the Third Proportional to 34,658,641.50 and 75,096,678

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Solution

The third proportional to 34,658,641.50 and 75,096,678 is: 162,715,871.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,658,641.50 : 75,096,678 = 75,096,678 : x
  2. Step 2: Convert to fraction form
    34,658,641.50/75,096,678 = 75,096,678/x
  3. Step 3: Cross multiply
    34,658,641.50x = 75,096,678 × 75,096,678
  4. Step 4: Simplify right side
    34,658,641.50x = 5,639,511,046,635,684
  5. Step 5: Solve for x
    x = 5,639,511,046,635,684/34,658,641.50
  6. Step 6: Final answer
    x = 162,715,871.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.