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Finding the Third Proportional to 29,545,744 and 45,385,864

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Solution

The third proportional to 29,545,744 and 45,385,864 is: 69,718,219.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,545,744 : 45,385,864 = 45,385,864 : x
  2. Step 2: Convert to fraction form
    29,545,744/45,385,864 = 45,385,864/x
  3. Step 3: Cross multiply
    29,545,744x = 45,385,864 × 45,385,864
  4. Step 4: Simplify right side
    29,545,744x = 2,059,876,651,026,496
  5. Step 5: Solve for x
    x = 2,059,876,651,026,496/29,545,744
  6. Step 6: Final answer
    x = 69,718,219.01

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.