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Finding the Third Proportional to 9,965,318,598 and 14,015,553,848

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Solution

The third proportional to 9,965,318,598 and 14,015,553,848 is: 19,711,938,733.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,965,318,598 : 14,015,553,848 = 14,015,553,848 : x
  2. Step 2: Convert to fraction form
    9,965,318,598/14,015,553,848 = 14,015,553,848/x
  3. Step 3: Cross multiply
    9,965,318,598x = 14,015,553,848 × 14,015,553,848
  4. Step 4: Simplify right side
    9,965,318,598x = 196,435,749,666,187,608,064
  5. Step 5: Solve for x
    x = 196,435,749,666,187,608,064/9,965,318,598
  6. Step 6: Final answer
    x = 19,711,938,733.76

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.