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Finding the Third Proportional to 356,610,496 and 776,529,925

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Solution

The third proportional to 356,610,496 and 776,529,925 is: 1,690,916,928.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,610,496 : 776,529,925 = 776,529,925 : x
  2. Step 2: Convert to fraction form
    356,610,496/776,529,925 = 776,529,925/x
  3. Step 3: Cross multiply
    356,610,496x = 776,529,925 × 776,529,925
  4. Step 4: Simplify right side
    356,610,496x = 602,998,724,420,505,600
  5. Step 5: Solve for x
    x = 602,998,724,420,505,600/356,610,496
  6. Step 6: Final answer
    x = 1,690,916,928.09

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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.