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Finding the Third Proportional to 38,302,384 and 81,913,184

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Solution

The third proportional to 38,302,384 and 81,913,184 is: 175,178,905.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,302,384 : 81,913,184 = 81,913,184 : x
  2. Step 2: Convert to fraction form
    38,302,384/81,913,184 = 81,913,184/x
  3. Step 3: Cross multiply
    38,302,384x = 81,913,184 × 81,913,184
  4. Step 4: Simplify right side
    38,302,384x = 6,709,769,713,017,856
  5. Step 5: Solve for x
    x = 6,709,769,713,017,856/38,302,384
  6. Step 6: Final answer
    x = 175,178,905.65

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.