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Finding the Third Proportional to 6,943,940 and 10,315,387

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Solution

The third proportional to 6,943,940 and 10,315,387 is: 15,323,751.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,943,940 : 10,315,387 = 10,315,387 : x
  2. Step 2: Convert to fraction form
    6,943,940/10,315,387 = 10,315,387/x
  3. Step 3: Cross multiply
    6,943,940x = 10,315,387 × 10,315,387
  4. Step 4: Simplify right side
    6,943,940x = 106,407,208,959,769
  5. Step 5: Solve for x
    x = 106,407,208,959,769/6,943,940
  6. Step 6: Final answer
    x = 15,323,751.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.