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Finding the Third Proportional to 9,820,633 and 23,149,964

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Solution

The third proportional to 9,820,633 and 23,149,964 is: 54,570,905.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,820,633 : 23,149,964 = 23,149,964 : x
  2. Step 2: Convert to fraction form
    9,820,633/23,149,964 = 23,149,964/x
  3. Step 3: Cross multiply
    9,820,633x = 23,149,964 × 23,149,964
  4. Step 4: Simplify right side
    9,820,633x = 535,920,833,201,296
  5. Step 5: Solve for x
    x = 535,920,833,201,296/9,820,633
  6. Step 6: Final answer
    x = 54,570,905.28

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.