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Finding the Third Proportional to 21,545,136 and 46,076,256

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Solution

The third proportional to 21,545,136 and 46,076,256 is: 98,538,313.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,545,136 : 46,076,256 = 46,076,256 : x
  2. Step 2: Convert to fraction form
    21,545,136/46,076,256 = 46,076,256/x
  3. Step 3: Cross multiply
    21,545,136x = 46,076,256 × 46,076,256
  4. Step 4: Simplify right side
    21,545,136x = 2,123,021,366,977,536
  5. Step 5: Solve for x
    x = 2,123,021,366,977,536/21,545,136
  6. Step 6: Final answer
    x = 98,538,313.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.