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Finding the Third Proportional to 10,774,874 and 23,941,237

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Solution

The third proportional to 10,774,874 and 23,941,237 is: 53,196,244.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,774,874 : 23,941,237 = 23,941,237 : x
  2. Step 2: Convert to fraction form
    10,774,874/23,941,237 = 23,941,237/x
  3. Step 3: Cross multiply
    10,774,874x = 23,941,237 × 23,941,237
  4. Step 4: Simplify right side
    10,774,874x = 573,182,829,090,169
  5. Step 5: Solve for x
    x = 573,182,829,090,169/10,774,874
  6. Step 6: Final answer
    x = 53,196,244.25

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.