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Finding the Third Proportional to 9,728,802 and 21,325,572

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Solution

The third proportional to 9,728,802 and 21,325,572 is: 46,745,737.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,728,802 : 21,325,572 = 21,325,572 : x
  2. Step 2: Convert to fraction form
    9,728,802/21,325,572 = 21,325,572/x
  3. Step 3: Cross multiply
    9,728,802x = 21,325,572 × 21,325,572
  4. Step 4: Simplify right side
    9,728,802x = 454,780,021,127,184
  5. Step 5: Solve for x
    x = 454,780,021,127,184/9,728,802
  6. Step 6: Final answer
    x = 46,745,737.16

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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.