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Finding the Third Proportional to 543,432,912 and 1,148,203,424

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Solution

The third proportional to 543,432,912 and 1,148,203,424 is: 2,426,005,259.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,432,912 : 1,148,203,424 = 1,148,203,424 : x
  2. Step 2: Convert to fraction form
    543,432,912/1,148,203,424 = 1,148,203,424/x
  3. Step 3: Cross multiply
    543,432,912x = 1,148,203,424 × 1,148,203,424
  4. Step 4: Simplify right side
    543,432,912x = 1,318,371,102,885,323,776
  5. Step 5: Solve for x
    x = 1,318,371,102,885,323,776/543,432,912
  6. Step 6: Final answer
    x = 2,426,005,259.85

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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.