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Finding the Third Proportional to 2,331,365,860 and 3,806,507,616

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Solution

The third proportional to 2,331,365,860 and 3,806,507,616 is: 6,215,026,341.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,331,365,860 : 3,806,507,616 = 3,806,507,616 : x
  2. Step 2: Convert to fraction form
    2,331,365,860/3,806,507,616 = 3,806,507,616/x
  3. Step 3: Cross multiply
    2,331,365,860x = 3,806,507,616 × 3,806,507,616
  4. Step 4: Simplify right side
    2,331,365,860x = 14,489,500,230,666,002,432
  5. Step 5: Solve for x
    x = 14,489,500,230,666,002,432/2,331,365,860
  6. Step 6: Final answer
    x = 6,215,026,341.11

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.