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Finding the Third Proportional to 5,726,953.13 and 12,461,428.13

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Solution

The third proportional to 5,726,953.13 and 12,461,428.13 is: 27,115,149.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,726,953.13 : 12,461,428.13 = 12,461,428.13 : x
  2. Step 2: Convert to fraction form
    5,726,953.13/12,461,428.13 = 12,461,428.13/x
  3. Step 3: Cross multiply
    5,726,953.13x = 12,461,428.13 × 12,461,428.13
  4. Step 4: Simplify right side
    5,726,953.13x = 155,287,190,914,541
  5. Step 5: Solve for x
    x = 155,287,190,914,541/5,726,953.13
  6. Step 6: Final answer
    x = 27,115,149.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.