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Finding the Third Proportional to 82,156,926 and 127,946,426

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Solution

The third proportional to 82,156,926 and 127,946,426 is: 199,256,334.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,156,926 : 127,946,426 = 127,946,426 : x
  2. Step 2: Convert to fraction form
    82,156,926/127,946,426 = 127,946,426/x
  3. Step 3: Cross multiply
    82,156,926x = 127,946,426 × 127,946,426
  4. Step 4: Simplify right side
    82,156,926x = 16,370,287,926,173,476
  5. Step 5: Solve for x
    x = 16,370,287,926,173,476/82,156,926
  6. Step 6: Final answer
    x = 199,256,334.47

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.