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Finding the Third Proportional to 5,989,551 and 9,779,361

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Solution

The third proportional to 5,989,551 and 9,779,361 is: 15,967,123.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,989,551 : 9,779,361 = 9,779,361 : x
  2. Step 2: Convert to fraction form
    5,989,551/9,779,361 = 9,779,361/x
  3. Step 3: Cross multiply
    5,989,551x = 9,779,361 × 9,779,361
  4. Step 4: Simplify right side
    5,989,551x = 95,635,901,568,321
  5. Step 5: Solve for x
    x = 95,635,901,568,321/5,989,551
  6. Step 6: Final answer
    x = 15,967,123.67

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.