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Finding the Third Proportional to 10,210,414 and 21,772,394

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Solution

The third proportional to 10,210,414 and 21,772,394 is: 46,426,828.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,210,414 : 21,772,394 = 21,772,394 : x
  2. Step 2: Convert to fraction form
    10,210,414/21,772,394 = 21,772,394/x
  3. Step 3: Cross multiply
    10,210,414x = 21,772,394 × 21,772,394
  4. Step 4: Simplify right side
    10,210,414x = 474,037,140,491,236
  5. Step 5: Solve for x
    x = 474,037,140,491,236/10,210,414
  6. Step 6: Final answer
    x = 46,426,828.58

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.