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Finding the Third Proportional to 10,214,112 and 15,176,470.50

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Solution

The third proportional to 10,214,112 and 15,176,470.50 is: 22,549,709.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,214,112 : 15,176,470.50 = 15,176,470.50 : x
  2. Step 2: Convert to fraction form
    10,214,112/15,176,470.50 = 15,176,470.50/x
  3. Step 3: Cross multiply
    10,214,112x = 15,176,470.50 × 15,176,470.50
  4. Step 4: Simplify right side
    10,214,112x = 230,325,256,837,370.25
  5. Step 5: Solve for x
    x = 230,325,256,837,370.25/10,214,112
  6. Step 6: Final answer
    x = 22,549,709.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.