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Finding the Third Proportional to 216,525,936 and 510,962,456

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Solution

The third proportional to 216,525,936 and 510,962,456 is: 1,205,779,946.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,525,936 : 510,962,456 = 510,962,456 : x
  2. Step 2: Convert to fraction form
    216,525,936/510,962,456 = 510,962,456/x
  3. Step 3: Cross multiply
    216,525,936x = 510,962,456 × 510,962,456
  4. Step 4: Simplify right side
    216,525,936x = 261,082,631,441,551,936
  5. Step 5: Solve for x
    x = 261,082,631,441,551,936/216,525,936
  6. Step 6: Final answer
    x = 1,205,779,946.11

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Why These Related Problems?

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