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Finding the Third Proportional to 4,600,810.13 and 9,677,562.75

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Solution

The third proportional to 4,600,810.13 and 9,677,562.75 is: 20,356,245.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,600,810.13 : 9,677,562.75 = 9,677,562.75 : x
  2. Step 2: Convert to fraction form
    4,600,810.13/9,677,562.75 = 9,677,562.75/x
  3. Step 3: Cross multiply
    4,600,810.13x = 9,677,562.75 × 9,677,562.75
  4. Step 4: Simplify right side
    4,600,810.13x = 93,655,220,780,187.56
  5. Step 5: Solve for x
    x = 93,655,220,780,187.56/4,600,810.13
  6. Step 6: Final answer
    x = 20,356,245.58

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.