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Finding the Third Proportional to 10,454,930 and 22,511,764

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Solution

The third proportional to 10,454,930 and 22,511,764 is: 48,472,779.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,454,930 : 22,511,764 = 22,511,764 : x
  2. Step 2: Convert to fraction form
    10,454,930/22,511,764 = 22,511,764/x
  3. Step 3: Cross multiply
    10,454,930x = 22,511,764 × 22,511,764
  4. Step 4: Simplify right side
    10,454,930x = 506,779,518,391,696
  5. Step 5: Solve for x
    x = 506,779,518,391,696/10,454,930
  6. Step 6: Final answer
    x = 48,472,779.67

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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.