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Finding the Third Proportional to 19,539,567 and 41,768,184

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Solution

The third proportional to 19,539,567 and 41,768,184 is: 89,284,537.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,539,567 : 41,768,184 = 41,768,184 : x
  2. Step 2: Convert to fraction form
    19,539,567/41,768,184 = 41,768,184/x
  3. Step 3: Cross multiply
    19,539,567x = 41,768,184 × 41,768,184
  4. Step 4: Simplify right side
    19,539,567x = 1,744,581,194,657,856
  5. Step 5: Solve for x
    x = 1,744,581,194,657,856/19,539,567
  6. Step 6: Final answer
    x = 89,284,537.10

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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.