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Finding the Third Proportional to 425,431,586 and 925,402,664

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Solution

The third proportional to 425,431,586 and 925,402,664 is: 2,012,944,310.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,431,586 : 925,402,664 = 925,402,664 : x
  2. Step 2: Convert to fraction form
    425,431,586/925,402,664 = 925,402,664/x
  3. Step 3: Cross multiply
    425,431,586x = 925,402,664 × 925,402,664
  4. Step 4: Simplify right side
    425,431,586x = 856,370,090,538,296,832
  5. Step 5: Solve for x
    x = 856,370,090,538,296,832/425,431,586
  6. Step 6: Final answer
    x = 2,012,944,310.48

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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.