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Finding the Third Proportional to 10,649,691 and 23,326,582.50

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Solution

The third proportional to 10,649,691 and 23,326,582.50 is: 51,093,449.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,649,691 : 23,326,582.50 = 23,326,582.50 : x
  2. Step 2: Convert to fraction form
    10,649,691/23,326,582.50 = 23,326,582.50/x
  3. Step 3: Cross multiply
    10,649,691x = 23,326,582.50 × 23,326,582.50
  4. Step 4: Simplify right side
    10,649,691x = 544,129,451,129,306.25
  5. Step 5: Solve for x
    x = 544,129,451,129,306.25/10,649,691
  6. Step 6: Final answer
    x = 51,093,449.67

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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.