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Finding the Third Proportional to 9,584,538 and 20,630,550

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Solution

The third proportional to 9,584,538 and 20,630,550 is: 44,406,897.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,584,538 : 20,630,550 = 20,630,550 : x
  2. Step 2: Convert to fraction form
    9,584,538/20,630,550 = 20,630,550/x
  3. Step 3: Cross multiply
    9,584,538x = 20,630,550 × 20,630,550
  4. Step 4: Simplify right side
    9,584,538x = 425,619,593,302,500
  5. Step 5: Solve for x
    x = 425,619,593,302,500/9,584,538
  6. Step 6: Final answer
    x = 44,406,897.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.