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Finding the Third Proportional to 1,691,825,391 and 2,586,365,136

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Solution

The third proportional to 1,691,825,391 and 2,586,365,136 is: 3,953,885,934.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,691,825,391 : 2,586,365,136 = 2,586,365,136 : x
  2. Step 2: Convert to fraction form
    1,691,825,391/2,586,365,136 = 2,586,365,136/x
  3. Step 3: Cross multiply
    1,691,825,391x = 2,586,365,136 × 2,586,365,136
  4. Step 4: Simplify right side
    1,691,825,391x = 6,689,284,616,716,298,240
  5. Step 5: Solve for x
    x = 6,689,284,616,716,298,240/1,691,825,391
  6. Step 6: Final answer
    x = 3,953,885,934.27

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.