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Finding the Third Proportional to 6,931,527 and 15,456,837

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Solution

The third proportional to 6,931,527 and 15,456,837 is: 34,467,702.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,931,527 : 15,456,837 = 15,456,837 : x
  2. Step 2: Convert to fraction form
    6,931,527/15,456,837 = 15,456,837/x
  3. Step 3: Cross multiply
    6,931,527x = 15,456,837 × 15,456,837
  4. Step 4: Simplify right side
    6,931,527x = 238,913,810,044,569
  5. Step 5: Solve for x
    x = 238,913,810,044,569/6,931,527
  6. Step 6: Final answer
    x = 34,467,702.43

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.