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Finding the Third Proportional to 475,192,064 and 756,131,520

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Solution

The third proportional to 475,192,064 and 756,131,520 is: 1,203,165,875.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,192,064 : 756,131,520 = 756,131,520 : x
  2. Step 2: Convert to fraction form
    475,192,064/756,131,520 = 756,131,520/x
  3. Step 3: Cross multiply
    475,192,064x = 756,131,520 × 756,131,520
  4. Step 4: Simplify right side
    475,192,064x = 571,734,875,537,510,400
  5. Step 5: Solve for x
    x = 571,734,875,537,510,400/475,192,064
  6. Step 6: Final answer
    x = 1,203,165,875.13

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.