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Finding the Third Proportional to 10,313,472 and 21,856,362

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Solution

The third proportional to 10,313,472 and 21,856,362 is: 46,318,112.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,313,472 : 21,856,362 = 21,856,362 : x
  2. Step 2: Convert to fraction form
    10,313,472/21,856,362 = 21,856,362/x
  3. Step 3: Cross multiply
    10,313,472x = 21,856,362 × 21,856,362
  4. Step 4: Simplify right side
    10,313,472x = 477,700,559,875,044
  5. Step 5: Solve for x
    x = 477,700,559,875,044/10,313,472
  6. Step 6: Final answer
    x = 46,318,112.84

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.