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Finding the Third Proportional to 2,366,582 and 5,183,643.50

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Solution

The third proportional to 2,366,582 and 5,183,643.50 is: 11,353,994.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,366,582 : 5,183,643.50 = 5,183,643.50 : x
  2. Step 2: Convert to fraction form
    2,366,582/5,183,643.50 = 5,183,643.50/x
  3. Step 3: Cross multiply
    2,366,582x = 5,183,643.50 × 5,183,643.50
  4. Step 4: Simplify right side
    2,366,582x = 26,870,159,935,092.25
  5. Step 5: Solve for x
    x = 26,870,159,935,092.25/2,366,582
  6. Step 6: Final answer
    x = 11,353,994.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.