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Finding the Third Proportional to 6,905,693 and 10,454,395.50

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Solution

The third proportional to 6,905,693 and 10,454,395.50 is: 15,826,707.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,905,693 : 10,454,395.50 = 10,454,395.50 : x
  2. Step 2: Convert to fraction form
    6,905,693/10,454,395.50 = 10,454,395.50/x
  3. Step 3: Cross multiply
    6,905,693x = 10,454,395.50 × 10,454,395.50
  4. Step 4: Simplify right side
    6,905,693x = 109,294,385,270,420.25
  5. Step 5: Solve for x
    x = 109,294,385,270,420.25/6,905,693
  6. Step 6: Final answer
    x = 15,826,707.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.