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Finding the Third Proportional to 9,587,820 and 20,540,328

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Solution

The third proportional to 9,587,820 and 20,540,328 is: 44,004,275.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,587,820 : 20,540,328 = 20,540,328 : x
  2. Step 2: Convert to fraction form
    9,587,820/20,540,328 = 20,540,328/x
  3. Step 3: Cross multiply
    9,587,820x = 20,540,328 × 20,540,328
  4. Step 4: Simplify right side
    9,587,820x = 421,905,074,347,584
  5. Step 5: Solve for x
    x = 421,905,074,347,584/9,587,820
  6. Step 6: Final answer
    x = 44,004,275.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.