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Finding the Third Proportional to 3,645,388.13 and 7,977,332.25

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Solution

The third proportional to 3,645,388.13 and 7,977,332.25 is: 17,457,079.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,645,388.13 : 7,977,332.25 = 7,977,332.25 : x
  2. Step 2: Convert to fraction form
    3,645,388.13/7,977,332.25 = 7,977,332.25/x
  3. Step 3: Cross multiply
    3,645,388.13x = 7,977,332.25 × 7,977,332.25
  4. Step 4: Simplify right side
    3,645,388.13x = 63,637,829,826,890.06
  5. Step 5: Solve for x
    x = 63,637,829,826,890.06/3,645,388.13
  6. Step 6: Final answer
    x = 17,457,079.37

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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.