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Finding the Third Proportional to 4,767,494.63 and 10,347,723

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Solution

The third proportional to 4,767,494.63 and 10,347,723 is: 22,459,463.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,767,494.63 : 10,347,723 = 10,347,723 : x
  2. Step 2: Convert to fraction form
    4,767,494.63/10,347,723 = 10,347,723/x
  3. Step 3: Cross multiply
    4,767,494.63x = 10,347,723 × 10,347,723
  4. Step 4: Simplify right side
    4,767,494.63x = 107,075,371,284,729
  5. Step 5: Solve for x
    x = 107,075,371,284,729/4,767,494.63
  6. Step 6: Final answer
    x = 22,459,463.45

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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.