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Finding the Third Proportional to 333,504,361.13 and 724,420,324.13

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Solution

The third proportional to 333,504,361.13 and 724,420,324.13 is: 1,573,547,057.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,504,361.13 : 724,420,324.13 = 724,420,324.13 : x
  2. Step 2: Convert to fraction form
    333,504,361.13/724,420,324.13 = 724,420,324.13/x
  3. Step 3: Cross multiply
    333,504,361.13x = 724,420,324.13 × 724,420,324.13
  4. Step 4: Simplify right side
    333,504,361.13x = 524,784,806,005,370,048
  5. Step 5: Solve for x
    x = 524,784,806,005,370,048/333,504,361.13
  6. Step 6: Final answer
    x = 1,573,547,057.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.