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Finding the Third Proportional to 261,536,176 and 554,952,032

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Solution

The third proportional to 261,536,176 and 554,952,032 is: 1,177,549,364.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,536,176 : 554,952,032 = 554,952,032 : x
  2. Step 2: Convert to fraction form
    261,536,176/554,952,032 = 554,952,032/x
  3. Step 3: Cross multiply
    261,536,176x = 554,952,032 × 554,952,032
  4. Step 4: Simplify right side
    261,536,176x = 307,971,757,820,929,024
  5. Step 5: Solve for x
    x = 307,971,757,820,929,024/261,536,176
  6. Step 6: Final answer
    x = 1,177,549,364.42

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.