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Finding the Third Proportional to 10,941,768 and 17,163,795.75

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Solution

The third proportional to 10,941,768 and 17,163,795.75 is: 26,923,974.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,941,768 : 17,163,795.75 = 17,163,795.75 : x
  2. Step 2: Convert to fraction form
    10,941,768/17,163,795.75 = 17,163,795.75/x
  3. Step 3: Cross multiply
    10,941,768x = 17,163,795.75 × 17,163,795.75
  4. Step 4: Simplify right side
    10,941,768x = 294,595,884,547,718.06
  5. Step 5: Solve for x
    x = 294,595,884,547,718.06/10,941,768
  6. Step 6: Final answer
    x = 26,923,974.68

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.