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Finding the Third Proportional to 6,712,946 and 10,324,275

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Solution

The third proportional to 6,712,946 and 10,324,275 is: 15,878,372.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,712,946 : 10,324,275 = 10,324,275 : x
  2. Step 2: Convert to fraction form
    6,712,946/10,324,275 = 10,324,275/x
  3. Step 3: Cross multiply
    6,712,946x = 10,324,275 × 10,324,275
  4. Step 4: Simplify right side
    6,712,946x = 106,590,654,275,625
  5. Step 5: Solve for x
    x = 106,590,654,275,625/6,712,946
  6. Step 6: Final answer
    x = 15,878,372.07

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.