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Finding the Third Proportional to 37,214,256 and 78,847,332

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Solution

The third proportional to 37,214,256 and 78,847,332 is: 167,056,994.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,214,256 : 78,847,332 = 78,847,332 : x
  2. Step 2: Convert to fraction form
    37,214,256/78,847,332 = 78,847,332/x
  3. Step 3: Cross multiply
    37,214,256x = 78,847,332 × 78,847,332
  4. Step 4: Simplify right side
    37,214,256x = 6,216,901,763,518,224
  5. Step 5: Solve for x
    x = 6,216,901,763,518,224/37,214,256
  6. Step 6: Final answer
    x = 167,056,994.60

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.