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Finding the Third Proportional to 7,537,864 and 16,511,210

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Solution

The third proportional to 7,537,864 and 16,511,210 is: 36,166,751.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,537,864 : 16,511,210 = 16,511,210 : x
  2. Step 2: Convert to fraction form
    7,537,864/16,511,210 = 16,511,210/x
  3. Step 3: Cross multiply
    7,537,864x = 16,511,210 × 16,511,210
  4. Step 4: Simplify right side
    7,537,864x = 272,620,055,664,100
  5. Step 5: Solve for x
    x = 272,620,055,664,100/7,537,864
  6. Step 6: Final answer
    x = 36,166,751.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.