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Finding the Third Proportional to 2,648,980.13 and 5,721,296.63

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Solution

The third proportional to 2,648,980.13 and 5,721,296.63 is: 12,356,919.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,648,980.13 : 5,721,296.63 = 5,721,296.63 : x
  2. Step 2: Convert to fraction form
    2,648,980.13/5,721,296.63 = 5,721,296.63/x
  3. Step 3: Cross multiply
    2,648,980.13x = 5,721,296.63 × 5,721,296.63
  4. Step 4: Simplify right side
    2,648,980.13x = 32,733,235,071,236.39
  5. Step 5: Solve for x
    x = 32,733,235,071,236.39/2,648,980.13
  6. Step 6: Final answer
    x = 12,356,919.84

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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.