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Finding the Third Proportional to 4,597,620.75 and 9,855,852.19

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Solution

The third proportional to 4,597,620.75 and 9,855,852.19 is: 21,127,845.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,597,620.75 : 9,855,852.19 = 9,855,852.19 : x
  2. Step 2: Convert to fraction form
    4,597,620.75/9,855,852.19 = 9,855,852.19/x
  3. Step 3: Cross multiply
    4,597,620.75x = 9,855,852.19 × 9,855,852.19
  4. Step 4: Simplify right side
    4,597,620.75x = 97,137,822,341,848.53
  5. Step 5: Solve for x
    x = 97,137,822,341,848.53/4,597,620.75
  6. Step 6: Final answer
    x = 21,127,845.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.