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Finding the Third Proportional to 425,431,642.50 and 925,402,806

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Solution

The third proportional to 425,431,642.50 and 925,402,806 is: 2,012,944,660.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,431,642.50 : 925,402,806 = 925,402,806 : x
  2. Step 2: Convert to fraction form
    425,431,642.50/925,402,806 = 925,402,806/x
  3. Step 3: Cross multiply
    425,431,642.50x = 925,402,806 × 925,402,806
  4. Step 4: Simplify right side
    425,431,642.50x = 856,370,353,352,673,664
  5. Step 5: Solve for x
    x = 856,370,353,352,673,664/425,431,642.50
  6. Step 6: Final answer
    x = 2,012,944,660.91

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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.