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Finding the Third Proportional to 4,637,172 and 9,890,619

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Solution

The third proportional to 4,637,172 and 9,890,619 is: 21,095,690.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,637,172 : 9,890,619 = 9,890,619 : x
  2. Step 2: Convert to fraction form
    4,637,172/9,890,619 = 9,890,619/x
  3. Step 3: Cross multiply
    4,637,172x = 9,890,619 × 9,890,619
  4. Step 4: Simplify right side
    4,637,172x = 97,824,344,203,161
  5. Step 5: Solve for x
    x = 97,824,344,203,161/4,637,172
  6. Step 6: Final answer
    x = 21,095,690.26

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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.