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Finding the Third Proportional to 17,423,829 and 35,966,295

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Solution

The third proportional to 17,423,829 and 35,966,295 is: 74,241,682.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,423,829 : 35,966,295 = 35,966,295 : x
  2. Step 2: Convert to fraction form
    17,423,829/35,966,295 = 35,966,295/x
  3. Step 3: Cross multiply
    17,423,829x = 35,966,295 × 35,966,295
  4. Step 4: Simplify right side
    17,423,829x = 1,293,574,376,027,025
  5. Step 5: Solve for x
    x = 1,293,574,376,027,025/17,423,829
  6. Step 6: Final answer
    x = 74,241,682.24

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.