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Finding the Third Proportional to 425,431,677 and 925,402,872

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Solution

The third proportional to 425,431,677 and 925,402,872 is: 2,012,944,784.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,431,677 : 925,402,872 = 925,402,872 : x
  2. Step 2: Convert to fraction form
    425,431,677/925,402,872 = 925,402,872/x
  3. Step 3: Cross multiply
    425,431,677x = 925,402,872 × 925,402,872
  4. Step 4: Simplify right side
    425,431,677x = 856,370,475,505,848,320
  5. Step 5: Solve for x
    x = 856,370,475,505,848,320/425,431,677
  6. Step 6: Final answer
    x = 2,012,944,784.80

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.