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Finding the Third Proportional to 82,156,927 and 127,946,428

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Solution

The third proportional to 82,156,927 and 127,946,428 is: 199,256,338.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,156,927 : 127,946,428 = 127,946,428 : x
  2. Step 2: Convert to fraction form
    82,156,927/127,946,428 = 127,946,428/x
  3. Step 3: Cross multiply
    82,156,927x = 127,946,428 × 127,946,428
  4. Step 4: Simplify right side
    82,156,927x = 16,370,288,437,959,184
  5. Step 5: Solve for x
    x = 16,370,288,437,959,184/82,156,927
  6. Step 6: Final answer
    x = 199,256,338.28

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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.