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Finding the Third Proportional to 21,963,663 and 32,136,995.25

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Solution

The third proportional to 21,963,663 and 32,136,995.25 is: 47,022,505.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,963,663 : 32,136,995.25 = 32,136,995.25 : x
  2. Step 2: Convert to fraction form
    21,963,663/32,136,995.25 = 32,136,995.25/x
  3. Step 3: Cross multiply
    21,963,663x = 32,136,995.25 × 32,136,995.25
  4. Step 4: Simplify right side
    21,963,663x = 1,032,786,463,698,522.50
  5. Step 5: Solve for x
    x = 1,032,786,463,698,522.50/21,963,663
  6. Step 6: Final answer
    x = 47,022,505.48

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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.