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Finding the Third Proportional to 339,154,164 and 734,651,468

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Solution

The third proportional to 339,154,164 and 734,651,468 is: 1,591,349,411.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,154,164 : 734,651,468 = 734,651,468 : x
  2. Step 2: Convert to fraction form
    339,154,164/734,651,468 = 734,651,468/x
  3. Step 3: Cross multiply
    339,154,164x = 734,651,468 × 734,651,468
  4. Step 4: Simplify right side
    339,154,164x = 539,712,779,434,555,008
  5. Step 5: Solve for x
    x = 539,712,779,434,555,008/339,154,164
  6. Step 6: Final answer
    x = 1,591,349,411.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.