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Finding the Third Proportional to 1,025,625,664 and 2,418,688,672

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Solution

The third proportional to 1,025,625,664 and 2,418,688,672 is: 5,703,888,950.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025,625,664 : 2,418,688,672 = 2,418,688,672 : x
  2. Step 2: Convert to fraction form
    1,025,625,664/2,418,688,672 = 2,418,688,672/x
  3. Step 3: Cross multiply
    1,025,625,664x = 2,418,688,672 × 2,418,688,672
  4. Step 4: Simplify right side
    1,025,625,664x = 5,850,054,892,061,123,584
  5. Step 5: Solve for x
    x = 5,850,054,892,061,123,584/1,025,625,664
  6. Step 6: Final answer
    x = 5,703,888,950.33

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.