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Finding the Third Proportional to 5,431,206 and 11,308,854

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Solution

The third proportional to 5,431,206 and 11,308,854 is: 23,547,289.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,431,206 : 11,308,854 = 11,308,854 : x
  2. Step 2: Convert to fraction form
    5,431,206/11,308,854 = 11,308,854/x
  3. Step 3: Cross multiply
    5,431,206x = 11,308,854 × 11,308,854
  4. Step 4: Simplify right side
    5,431,206x = 127,890,178,793,316
  5. Step 5: Solve for x
    x = 127,890,178,793,316/5,431,206
  6. Step 6: Final answer
    x = 23,547,289.27

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.