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Finding the Third Proportional to 10,657,698 and 23,124,342

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Solution

The third proportional to 10,657,698 and 23,124,342 is: 50,173,610.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,657,698 : 23,124,342 = 23,124,342 : x
  2. Step 2: Convert to fraction form
    10,657,698/23,124,342 = 23,124,342/x
  3. Step 3: Cross multiply
    10,657,698x = 23,124,342 × 23,124,342
  4. Step 4: Simplify right side
    10,657,698x = 534,735,192,932,964
  5. Step 5: Solve for x
    x = 534,735,192,932,964/10,657,698
  6. Step 6: Final answer
    x = 50,173,610.94

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.