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Finding the Third Proportional to 49,313,649 and 78,536,929.50

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Solution

The third proportional to 49,313,649 and 78,536,929.50 is: 125,077,933.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,313,649 : 78,536,929.50 = 78,536,929.50 : x
  2. Step 2: Convert to fraction form
    49,313,649/78,536,929.50 = 78,536,929.50/x
  3. Step 3: Cross multiply
    49,313,649x = 78,536,929.50 × 78,536,929.50
  4. Step 4: Simplify right side
    49,313,649x = 6,168,049,295,287,970
  5. Step 5: Solve for x
    x = 6,168,049,295,287,970/49,313,649
  6. Step 6: Final answer
    x = 125,077,933.20

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.