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Finding the Third Proportional to 4,911,473 and 10,331,946

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Solution

The third proportional to 4,911,473 and 10,331,946 is: 21,734,642.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,911,473 : 10,331,946 = 10,331,946 : x
  2. Step 2: Convert to fraction form
    4,911,473/10,331,946 = 10,331,946/x
  3. Step 3: Cross multiply
    4,911,473x = 10,331,946 × 10,331,946
  4. Step 4: Simplify right side
    4,911,473x = 106,749,108,146,916
  5. Step 5: Solve for x
    x = 106,749,108,146,916/4,911,473
  6. Step 6: Final answer
    x = 21,734,642.16

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.