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Finding the Third Proportional to 5,708,315 and 7,827,640

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Solution

The third proportional to 5,708,315 and 7,827,640 is: 10,733,806.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,708,315 : 7,827,640 = 7,827,640 : x
  2. Step 2: Convert to fraction form
    5,708,315/7,827,640 = 7,827,640/x
  3. Step 3: Cross multiply
    5,708,315x = 7,827,640 × 7,827,640
  4. Step 4: Simplify right side
    5,708,315x = 61,271,947,969,600
  5. Step 5: Solve for x
    x = 61,271,947,969,600/5,708,315
  6. Step 6: Final answer
    x = 10,733,806.38

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.