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Finding the Third Proportional to 19,539,564 and 41,768,178

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Solution

The third proportional to 19,539,564 and 41,768,178 is: 89,284,525.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,539,564 : 41,768,178 = 41,768,178 : x
  2. Step 2: Convert to fraction form
    19,539,564/41,768,178 = 41,768,178/x
  3. Step 3: Cross multiply
    19,539,564x = 41,768,178 × 41,768,178
  4. Step 4: Simplify right side
    19,539,564x = 1,744,580,693,439,684
  5. Step 5: Solve for x
    x = 1,744,580,693,439,684/19,539,564
  6. Step 6: Final answer
    x = 89,284,525.15

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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.