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Finding the Third Proportional to 4,064,815.13 and 8,838,218.25

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Solution

The third proportional to 4,064,815.13 and 8,838,218.25 is: 19,217,135.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,064,815.13 : 8,838,218.25 = 8,838,218.25 : x
  2. Step 2: Convert to fraction form
    4,064,815.13/8,838,218.25 = 8,838,218.25/x
  3. Step 3: Cross multiply
    4,064,815.13x = 8,838,218.25 × 8,838,218.25
  4. Step 4: Simplify right side
    4,064,815.13x = 78,114,101,834,633.06
  5. Step 5: Solve for x
    x = 78,114,101,834,633.06/4,064,815.13
  6. Step 6: Final answer
    x = 19,217,135.20

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.