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Finding the Third Proportional to 3,417,620.34 and 7,292,847.66

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Solution

The third proportional to 3,417,620.34 and 7,292,847.66 is: 15,562,181.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,417,620.34 : 7,292,847.66 = 7,292,847.66 : x
  2. Step 2: Convert to fraction form
    3,417,620.34/7,292,847.66 = 7,292,847.66/x
  3. Step 3: Cross multiply
    3,417,620.34x = 7,292,847.66 × 7,292,847.66
  4. Step 4: Simplify right side
    3,417,620.34x = 53,185,626,937,271.12
  5. Step 5: Solve for x
    x = 53,185,626,937,271.12/3,417,620.34
  6. Step 6: Final answer
    x = 15,562,181.16

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.