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Finding the Third Proportional to 6,931,486 and 15,456,748

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Solution

The third proportional to 6,931,486 and 15,456,748 is: 34,467,509.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,931,486 : 15,456,748 = 15,456,748 : x
  2. Step 2: Convert to fraction form
    6,931,486/15,456,748 = 15,456,748/x
  3. Step 3: Cross multiply
    6,931,486x = 15,456,748 × 15,456,748
  4. Step 4: Simplify right side
    6,931,486x = 238,911,058,735,504
  5. Step 5: Solve for x
    x = 238,911,058,735,504/6,931,486
  6. Step 6: Final answer
    x = 34,467,509.38

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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.