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Finding the Third Proportional to 1,297,864,616,892 and 1,907,918,561,817

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Solution

The third proportional to 1,297,864,616,892 and 1,907,918,561,817 is: 2,804,724,923,654.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297,864,616,892 : 1,907,918,561,817 = 1,907,918,561,817 : x
  2. Step 2: Convert to fraction form
    1,297,864,616,892/1,907,918,561,817 = 1,907,918,561,817/x
  3. Step 3: Cross multiply
    1,297,864,616,892x = 1,907,918,561,817 × 1,907,918,561,817
  4. Step 4: Simplify right side
    1,297,864,616,892x = 3,640,153,238,525,849,785,860,096
  5. Step 5: Solve for x
    x = 3,640,153,238,525,849,785,860,096/1,297,864,616,892
  6. Step 6: Final answer
    x = 2,804,724,923,654.16

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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.