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Finding the Third Proportional to 7,858,973 and 16,913,101

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Solution

The third proportional to 7,858,973 and 16,913,101 is: 36,398,265.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,858,973 : 16,913,101 = 16,913,101 : x
  2. Step 2: Convert to fraction form
    7,858,973/16,913,101 = 16,913,101/x
  3. Step 3: Cross multiply
    7,858,973x = 16,913,101 × 16,913,101
  4. Step 4: Simplify right side
    7,858,973x = 286,052,985,436,201
  5. Step 5: Solve for x
    x = 286,052,985,436,201/7,858,973
  6. Step 6: Final answer
    x = 36,398,265.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.