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Finding the Third Proportional to 21,984,464 and 32,336,954

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Solution

The third proportional to 21,984,464 and 32,336,954 is: 47,564,434.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,984,464 : 32,336,954 = 32,336,954 : x
  2. Step 2: Convert to fraction form
    21,984,464/32,336,954 = 32,336,954/x
  3. Step 3: Cross multiply
    21,984,464x = 32,336,954 × 32,336,954
  4. Step 4: Simplify right side
    21,984,464x = 1,045,678,593,998,116
  5. Step 5: Solve for x
    x = 1,045,678,593,998,116/21,984,464
  6. Step 6: Final answer
    x = 47,564,434.32

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.