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Finding the Third Proportional to 4,015,726 and 7,829,688

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Solution

The third proportional to 4,015,726 and 7,829,688 is: 15,265,985.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,015,726 : 7,829,688 = 7,829,688 : x
  2. Step 2: Convert to fraction form
    4,015,726/7,829,688 = 7,829,688/x
  3. Step 3: Cross multiply
    4,015,726x = 7,829,688 × 7,829,688
  4. Step 4: Simplify right side
    4,015,726x = 61,304,014,177,344
  5. Step 5: Solve for x
    x = 61,304,014,177,344/4,015,726
  6. Step 6: Final answer
    x = 15,265,985.32

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.