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Finding the Third Proportional to 75,779,860 and 110,792,806

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Solution

The third proportional to 75,779,860 and 110,792,806 is: 161,982,957.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,779,860 : 110,792,806 = 110,792,806 : x
  2. Step 2: Convert to fraction form
    75,779,860/110,792,806 = 110,792,806/x
  3. Step 3: Cross multiply
    75,779,860x = 110,792,806 × 110,792,806
  4. Step 4: Simplify right side
    75,779,860x = 12,275,045,861,353,636
  5. Step 5: Solve for x
    x = 12,275,045,861,353,636/75,779,860
  6. Step 6: Final answer
    x = 161,982,957.76

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.