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Finding the Third Proportional to 76,749,616 and 156,582,260

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Solution

The third proportional to 76,749,616 and 156,582,260 is: 319,454,421.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,749,616 : 156,582,260 = 156,582,260 : x
  2. Step 2: Convert to fraction form
    76,749,616/156,582,260 = 156,582,260/x
  3. Step 3: Cross multiply
    76,749,616x = 156,582,260 × 156,582,260
  4. Step 4: Simplify right side
    76,749,616x = 24,518,004,146,707,600
  5. Step 5: Solve for x
    x = 24,518,004,146,707,600/76,749,616
  6. Step 6: Final answer
    x = 319,454,421.07

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.