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Finding the Third Proportional to 9,584,427 and 20,630,316

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Solution

The third proportional to 9,584,427 and 20,630,316 is: 44,406,404.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,584,427 : 20,630,316 = 20,630,316 : x
  2. Step 2: Convert to fraction form
    9,584,427/20,630,316 = 20,630,316/x
  3. Step 3: Cross multiply
    9,584,427x = 20,630,316 × 20,630,316
  4. Step 4: Simplify right side
    9,584,427x = 425,609,938,259,856
  5. Step 5: Solve for x
    x = 425,609,938,259,856/9,584,427
  6. Step 6: Final answer
    x = 44,406,404.08

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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.