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Finding the Third Proportional to 3,148,697 and 6,521,431

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Solution

The third proportional to 3,148,697 and 6,521,431 is: 13,506,876.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,148,697 : 6,521,431 = 6,521,431 : x
  2. Step 2: Convert to fraction form
    3,148,697/6,521,431 = 6,521,431/x
  3. Step 3: Cross multiply
    3,148,697x = 6,521,431 × 6,521,431
  4. Step 4: Simplify right side
    3,148,697x = 42,529,062,287,761
  5. Step 5: Solve for x
    x = 42,529,062,287,761/3,148,697
  6. Step 6: Final answer
    x = 13,506,876.75

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.