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Finding the Third Proportional to 624,346,373,557 and 993,457,816,922

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Solution

The third proportional to 624,346,373,557 and 993,457,816,922 is: 1,580,786,684,770.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,346,373,557 : 993,457,816,922 = 993,457,816,922 : x
  2. Step 2: Convert to fraction form
    624,346,373,557/993,457,816,922 = 993,457,816,922/x
  3. Step 3: Cross multiply
    624,346,373,557x = 993,457,816,922 × 993,457,816,922
  4. Step 4: Simplify right side
    624,346,373,557x = 986,958,434,003,426,092,253,184
  5. Step 5: Solve for x
    x = 986,958,434,003,426,092,253,184/624,346,373,557
  6. Step 6: Final answer
    x = 1,580,786,684,770.13

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.