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Finding the Third Proportional to 5,206,518 and 11,308,582.13

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Solution

The third proportional to 5,206,518 and 11,308,582.13 is: 24,562,294.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,206,518 : 11,308,582.13 = 11,308,582.13 : x
  2. Step 2: Convert to fraction form
    5,206,518/11,308,582.13 = 11,308,582.13/x
  3. Step 3: Cross multiply
    5,206,518x = 11,308,582.13 × 11,308,582.13
  4. Step 4: Simplify right side
    5,206,518x = 127,884,029,677,869.52
  5. Step 5: Solve for x
    x = 127,884,029,677,869.52/5,206,518
  6. Step 6: Final answer
    x = 24,562,294.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.