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Finding the Third Proportional to 21,963,673 and 32,137,007

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Solution

The third proportional to 21,963,673 and 32,137,007 is: 47,022,518.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,963,673 : 32,137,007 = 32,137,007 : x
  2. Step 2: Convert to fraction form
    21,963,673/32,137,007 = 32,137,007/x
  3. Step 3: Cross multiply
    21,963,673x = 32,137,007 × 32,137,007
  4. Step 4: Simplify right side
    21,963,673x = 1,032,787,218,918,049
  5. Step 5: Solve for x
    x = 1,032,787,218,918,049/21,963,673
  6. Step 6: Final answer
    x = 47,022,518.45

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.