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Finding the Third Proportional to 5,169,748 and 11,366,216

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Solution

The third proportional to 5,169,748 and 11,366,216 is: 24,989,780.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,169,748 : 11,366,216 = 11,366,216 : x
  2. Step 2: Convert to fraction form
    5,169,748/11,366,216 = 11,366,216/x
  3. Step 3: Cross multiply
    5,169,748x = 11,366,216 × 11,366,216
  4. Step 4: Simplify right side
    5,169,748x = 129,190,866,158,656
  5. Step 5: Solve for x
    x = 129,190,866,158,656/5,169,748
  6. Step 6: Final answer
    x = 24,989,780.19

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.