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Finding the Third Proportional to 543,432,914 and 1,148,203,428

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Solution

The third proportional to 543,432,914 and 1,148,203,428 is: 2,426,005,267.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,432,914 : 1,148,203,428 = 1,148,203,428 : x
  2. Step 2: Convert to fraction form
    543,432,914/1,148,203,428 = 1,148,203,428/x
  3. Step 3: Cross multiply
    543,432,914x = 1,148,203,428 × 1,148,203,428
  4. Step 4: Simplify right side
    543,432,914x = 1,318,371,112,070,951,168
  5. Step 5: Solve for x
    x = 1,318,371,112,070,951,168/543,432,914
  6. Step 6: Final answer
    x = 2,426,005,267.82

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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.