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Finding the Third Proportional to 1,605,915,152 and 2,455,029,880

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Solution

The third proportional to 1,605,915,152 and 2,455,029,880 is: 3,753,107,195.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605,915,152 : 2,455,029,880 = 2,455,029,880 : x
  2. Step 2: Convert to fraction form
    1,605,915,152/2,455,029,880 = 2,455,029,880/x
  3. Step 3: Cross multiply
    1,605,915,152x = 2,455,029,880 × 2,455,029,880
  4. Step 4: Simplify right side
    1,605,915,152x = 6,027,171,711,692,814,336
  5. Step 5: Solve for x
    x = 6,027,171,711,692,814,336/1,605,915,152
  6. Step 6: Final answer
    x = 3,753,107,195.10

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.