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Finding the Third Proportional to 3,422,692,026 and 7,501,536,540

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Solution

The third proportional to 3,422,692,026 and 7,501,536,540 is: 16,441,166,787.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,422,692,026 : 7,501,536,540 = 7,501,536,540 : x
  2. Step 2: Convert to fraction form
    3,422,692,026/7,501,536,540 = 7,501,536,540/x
  3. Step 3: Cross multiply
    3,422,692,026x = 7,501,536,540 × 7,501,536,540
  4. Step 4: Simplify right side
    3,422,692,026x = 56,273,050,460,955,172,864
  5. Step 5: Solve for x
    x = 56,273,050,460,955,172,864/3,422,692,026
  6. Step 6: Final answer
    x = 16,441,166,787.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.