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Finding the Third Proportional to 543,432,896 and 1,148,203,392

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Solution

The third proportional to 543,432,896 and 1,148,203,392 is: 2,426,005,196.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,432,896 : 1,148,203,392 = 1,148,203,392 : x
  2. Step 2: Convert to fraction form
    543,432,896/1,148,203,392 = 1,148,203,392/x
  3. Step 3: Cross multiply
    543,432,896x = 1,148,203,392 × 1,148,203,392
  4. Step 4: Simplify right side
    543,432,896x = 1,318,371,029,400,305,664
  5. Step 5: Solve for x
    x = 1,318,371,029,400,305,664/543,432,896
  6. Step 6: Final answer
    x = 2,426,005,196.05

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.