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Finding the Third Proportional to 9,478,664 and 20,810,752

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Solution

The third proportional to 9,478,664 and 20,810,752 is: 45,690,763.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,478,664 : 20,810,752 = 20,810,752 : x
  2. Step 2: Convert to fraction form
    9,478,664/20,810,752 = 20,810,752/x
  3. Step 3: Cross multiply
    9,478,664x = 20,810,752 × 20,810,752
  4. Step 4: Simplify right side
    9,478,664x = 433,087,398,805,504
  5. Step 5: Solve for x
    x = 433,087,398,805,504/9,478,664
  6. Step 6: Final answer
    x = 45,690,763.89

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.