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Finding the Third Proportional to 2,816,457 and 6,081,856.50

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Solution

The third proportional to 2,816,457 and 6,081,856.50 is: 13,133,159.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,816,457 : 6,081,856.50 = 6,081,856.50 : x
  2. Step 2: Convert to fraction form
    2,816,457/6,081,856.50 = 6,081,856.50/x
  3. Step 3: Cross multiply
    2,816,457x = 6,081,856.50 × 6,081,856.50
  4. Step 4: Simplify right side
    2,816,457x = 36,988,978,486,592.25
  5. Step 5: Solve for x
    x = 36,988,978,486,592.25/2,816,457
  6. Step 6: Final answer
    x = 13,133,159.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.