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Finding the Third Proportional to 76,674,840 and 165,041,382

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Solution

The third proportional to 76,674,840 and 165,041,382 is: 355,248,967.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,674,840 : 165,041,382 = 165,041,382 : x
  2. Step 2: Convert to fraction form
    76,674,840/165,041,382 = 165,041,382/x
  3. Step 3: Cross multiply
    76,674,840x = 165,041,382 × 165,041,382
  4. Step 4: Simplify right side
    76,674,840x = 27,238,657,772,469,924
  5. Step 5: Solve for x
    x = 27,238,657,772,469,924/76,674,840
  6. Step 6: Final answer
    x = 355,248,967.88

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.