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Finding the Third Proportional to 216,525,877 and 510,962,318

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Solution

The third proportional to 216,525,877 and 510,962,318 is: 1,205,779,623.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,525,877 : 510,962,318 = 510,962,318 : x
  2. Step 2: Convert to fraction form
    216,525,877/510,962,318 = 510,962,318/x
  3. Step 3: Cross multiply
    216,525,877x = 510,962,318 × 510,962,318
  4. Step 4: Simplify right side
    216,525,877x = 261,082,490,415,933,120
  5. Step 5: Solve for x
    x = 261,082,490,415,933,120/216,525,877
  6. Step 6: Final answer
    x = 1,205,779,623.36

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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.