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Finding the Third Proportional to 1,755,973,579 and 2,585,458,073

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Solution

The third proportional to 1,755,973,579 and 2,585,458,073 is: 3,806,773,363.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,755,973,579 : 2,585,458,073 = 2,585,458,073 : x
  2. Step 2: Convert to fraction form
    1,755,973,579/2,585,458,073 = 2,585,458,073/x
  3. Step 3: Cross multiply
    1,755,973,579x = 2,585,458,073 × 2,585,458,073
  4. Step 4: Simplify right side
    1,755,973,579x = 6,684,593,447,240,872,960
  5. Step 5: Solve for x
    x = 6,684,593,447,240,872,960/1,755,973,579
  6. Step 6: Final answer
    x = 3,806,773,363.33

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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.