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Finding the Third Proportional to 4,590,523.13 and 9,621,762.19

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Solution

The third proportional to 4,590,523.13 and 9,621,762.19 is: 20,167,267.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,590,523.13 : 9,621,762.19 = 9,621,762.19 : x
  2. Step 2: Convert to fraction form
    4,590,523.13/9,621,762.19 = 9,621,762.19/x
  3. Step 3: Cross multiply
    4,590,523.13x = 9,621,762.19 × 9,621,762.19
  4. Step 4: Simplify right side
    4,590,523.13x = 92,578,307,592,804.78
  5. Step 5: Solve for x
    x = 92,578,307,592,804.78/4,590,523.13
  6. Step 6: Final answer
    x = 20,167,267.45

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.