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Finding the Third Proportional to 296,539,477 and 617,623,114

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Solution

The third proportional to 296,539,477 and 617,623,114 is: 1,286,366,033.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,539,477 : 617,623,114 = 617,623,114 : x
  2. Step 2: Convert to fraction form
    296,539,477/617,623,114 = 617,623,114/x
  3. Step 3: Cross multiply
    296,539,477x = 617,623,114 × 617,623,114
  4. Step 4: Simplify right side
    296,539,477x = 381,458,310,947,057,024
  5. Step 5: Solve for x
    x = 381,458,310,947,057,024/296,539,477
  6. Step 6: Final answer
    x = 1,286,366,033.98

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.