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Finding the Third Proportional to 29,753,295 and 45,976,426

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Solution

The third proportional to 29,753,295 and 45,976,426 is: 71,045,299.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,753,295 : 45,976,426 = 45,976,426 : x
  2. Step 2: Convert to fraction form
    29,753,295/45,976,426 = 45,976,426/x
  3. Step 3: Cross multiply
    29,753,295x = 45,976,426 × 45,976,426
  4. Step 4: Simplify right side
    29,753,295x = 2,113,831,747,733,476
  5. Step 5: Solve for x
    x = 2,113,831,747,733,476/29,753,295
  6. Step 6: Final answer
    x = 71,045,299.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.