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Finding the Third Proportional to 13,931,418,921 and 30,311,586,750

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Solution

The third proportional to 13,931,418,921 and 30,311,586,750 is: 65,951,092,025.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,931,418,921 : 30,311,586,750 = 30,311,586,750 : x
  2. Step 2: Convert to fraction form
    13,931,418,921/30,311,586,750 = 30,311,586,750/x
  3. Step 3: Cross multiply
    13,931,418,921x = 30,311,586,750 × 30,311,586,750
  4. Step 4: Simplify right side
    13,931,418,921x = 918,792,291,302,775,586,816
  5. Step 5: Solve for x
    x = 918,792,291,302,775,586,816/13,931,418,921
  6. Step 6: Final answer
    x = 65,951,092,025.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.