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Finding the Third Proportional to 10,700,382 and 23,851,462

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Solution

The third proportional to 10,700,382 and 23,851,462 is: 53,165,600.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,700,382 : 23,851,462 = 23,851,462 : x
  2. Step 2: Convert to fraction form
    10,700,382/23,851,462 = 23,851,462/x
  3. Step 3: Cross multiply
    10,700,382x = 23,851,462 × 23,851,462
  4. Step 4: Simplify right side
    10,700,382x = 568,892,239,537,444
  5. Step 5: Solve for x
    x = 568,892,239,537,444/10,700,382
  6. Step 6: Final answer
    x = 53,165,600.96

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.