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Finding the Third Proportional to 4,035,866 and 8,610,532

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Solution

The third proportional to 4,035,866 and 8,610,532 is: 18,370,595.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,035,866 : 8,610,532 = 8,610,532 : x
  2. Step 2: Convert to fraction form
    4,035,866/8,610,532 = 8,610,532/x
  3. Step 3: Cross multiply
    4,035,866x = 8,610,532 × 8,610,532
  4. Step 4: Simplify right side
    4,035,866x = 74,141,261,323,024
  5. Step 5: Solve for x
    x = 74,141,261,323,024/4,035,866
  6. Step 6: Final answer
    x = 18,370,595.39

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.