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Finding the Third Proportional to 53,482,600 and 82,677,276

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Solution

The third proportional to 53,482,600 and 82,677,276 is: 127,808,520.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,482,600 : 82,677,276 = 82,677,276 : x
  2. Step 2: Convert to fraction form
    53,482,600/82,677,276 = 82,677,276/x
  3. Step 3: Cross multiply
    53,482,600x = 82,677,276 × 82,677,276
  4. Step 4: Simplify right side
    53,482,600x = 6,835,531,966,780,176
  5. Step 5: Solve for x
    x = 6,835,531,966,780,176/53,482,600
  6. Step 6: Final answer
    x = 127,808,520.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.