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Finding the Third Proportional to 1,755,973,569 and 2,585,458,058

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Solution

The third proportional to 1,755,973,569 and 2,585,458,058 is: 3,806,773,340.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,755,973,569 : 2,585,458,058 = 2,585,458,058 : x
  2. Step 2: Convert to fraction form
    1,755,973,569/2,585,458,058 = 2,585,458,058/x
  3. Step 3: Cross multiply
    1,755,973,569x = 2,585,458,058 × 2,585,458,058
  4. Step 4: Simplify right side
    1,755,973,569x = 6,684,593,369,677,131,776
  5. Step 5: Solve for x
    x = 6,684,593,369,677,131,776/1,755,973,569
  6. Step 6: Final answer
    x = 3,806,773,340.83

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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.