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Finding the Third Proportional to 26,462,729 and 56,754,351

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Solution

The third proportional to 26,462,729 and 56,754,351 is: 121,720,490.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,462,729 : 56,754,351 = 56,754,351 : x
  2. Step 2: Convert to fraction form
    26,462,729/56,754,351 = 56,754,351/x
  3. Step 3: Cross multiply
    26,462,729x = 56,754,351 × 56,754,351
  4. Step 4: Simplify right side
    26,462,729x = 3,221,056,357,431,201
  5. Step 5: Solve for x
    x = 3,221,056,357,431,201/26,462,729
  6. Step 6: Final answer
    x = 121,720,490.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.