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Finding the Third Proportional to 1,746,192,490 and 2,618,647,347

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Solution

The third proportional to 1,746,192,490 and 2,618,647,347 is: 3,927,009,174.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,746,192,490 : 2,618,647,347 = 2,618,647,347 : x
  2. Step 2: Convert to fraction form
    1,746,192,490/2,618,647,347 = 2,618,647,347/x
  3. Step 3: Cross multiply
    1,746,192,490x = 2,618,647,347 × 2,618,647,347
  4. Step 4: Simplify right side
    1,746,192,490x = 6,857,313,927,950,138,368
  5. Step 5: Solve for x
    x = 6,857,313,927,950,138,368/1,746,192,490
  6. Step 6: Final answer
    x = 3,927,009,174.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.