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Finding the Third Proportional to 2,677,417.03 and 5,780,904.19

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Solution

The third proportional to 2,677,417.03 and 5,780,904.19 is: 12,481,751.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,677,417.03 : 5,780,904.19 = 5,780,904.19 : x
  2. Step 2: Convert to fraction form
    2,677,417.03/5,780,904.19 = 5,780,904.19/x
  3. Step 3: Cross multiply
    2,677,417.03x = 5,780,904.19 × 5,780,904.19
  4. Step 4: Simplify right side
    2,677,417.03x = 33,418,853,225,055.04
  5. Step 5: Solve for x
    x = 33,418,853,225,055.04/2,677,417.03
  6. Step 6: Final answer
    x = 12,481,751.19

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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.