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Finding the Third Proportional to 1,297,864,618,058 and 1,907,918,563,381

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Solution

The third proportional to 1,297,864,618,058 and 1,907,918,563,381 is: 2,804,724,925,732.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297,864,618,058 : 1,907,918,563,381 = 1,907,918,563,381 : x
  2. Step 2: Convert to fraction form
    1,297,864,618,058/1,907,918,563,381 = 1,907,918,563,381/x
  3. Step 3: Cross multiply
    1,297,864,618,058x = 1,907,918,563,381 × 1,907,918,563,381
  4. Step 4: Simplify right side
    1,297,864,618,058x = 3,640,153,244,493,819,049,672,704
  5. Step 5: Solve for x
    x = 3,640,153,244,493,819,049,672,704/1,297,864,618,058
  6. Step 6: Final answer
    x = 2,804,724,925,732.70

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.